I remember a discussion about this once before that concerned some sort of story/rumour etc that someone had installed 7.6 on one, but no-one seemed to know whether it was true, and if so how you would go about doing it. It's certainly not supported so I am pretty sure the Installer wouldn't work, nor would a normal bootable 7.6 disc (whether an install CD or a hard drive). You would probably have to do something similar to the method for getting OS8 to run on a 68030, whereby the installer is hacked to make it work, and you also have to hack some of the files that it installs so that it will boot. I can't really imagine seeing OS 7 on a Beige G3; such a world away from 10.4.9! 7 always reminds me of little LCs
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Main system: custom C2D 2.66GHz tower/4GB RAM/2600XT 512 MB/500GB HD/XP Pro x86+Vista Business x64
Main Mac: Beige G3 minitower (Sonnet G4 500MHz/640 MB DVD/USB/Radeon 32 MB/OS 9.2.2+10.4.11)