RURAL METRO CORP /DE/
424B3, 1997-10-27
LOCAL & SUBURBAN TRANSIT & INTERURBAN HWY PASSENGER TRANS
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<PAGE>   1
                                             Filed pursuant to Rule 424(b)(3)
                                                           Reg. No. 333-37393
 
                    SUPPLEMENT NO. 1 DATED OCTOBER 27, 1997
                      TO PROSPECTUS DATED OCTOBER 24, 1997
 
                            RURAL/METRO CORPORATION
 
                              SELLING STOCKHOLDERS
 
     The following table sets forth (i) the name of the Selling Stockholder, who
received the shares of Common Stock in connection with acquisitions by the
Company, (ii) the number of shares of Common Stock of the Company beneficially
owned by the Selling Stockholder as of October 10, 1997, and (iii) the number of
shares of Common Stock which the Selling Stockholder may offer and sell pursuant
to this Prospectus.
 
<TABLE>
<CAPTION>
                                                                                     NUMBER OF SHARES
                                                  NUMBER OF SHARES                   OF COMMON STOCK
                                                  OF COMMON STOCK                  WHICH MAY BE OFFERED
NAME                                                  OWNED(1)         PERCENT       PURSUANT HERETO
- ------------------------------------------------  ----------------     -------     --------------------
<S>                                               <C>                  <C>         <C>
Robert E. Ramsey, Jr ...........................       769,641           5.7%             269,641
</TABLE>
 
- ---------------
(1) Except as indicated, and subject to community property laws when applicable,
    the persons named in the table above have sole voting and investment power
    with respect to all shares of Common Stock shown as beneficially owned by
    them.


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