Hello Joe,
For Fedora there is a easier way to install Macromedia Flash, just download the flash-plugin-7.0.25-1.i386.rpm file from one of the mirrors found on
http://macromedia.mplug.org/
Then just run, as root rpm -Uvh flash-plugin-7.0.25-1.i386.rpm
If you have problems you can read this
http://macromedia.mplug.org/faq.html or post a new message here.
Best regards,
Richard