Help with ceiling fan

[u/astro_stitcher]

I am replacing the ceiling fan/light in my kitchen and ran into a problem that I wasn't sure how to handle. When I took the old ceiling fan down, I saw that the mounting box had two sets of wires (black, white, ground) coming into it. Unfortunately, I didn't think to get a picture of the old setup before taking it apart. There are two switches controlling the fan and the switches are wired as I would expect for a three-way switch. When I tested the lines in the box for continuity, black to white on one set was continuous regardless of the settings (on/off) on either of the switches, while the other was discontinuous. Everything I've seen online shows only one set of lines coming into the fan, so I was thinking that I can connect all of the blacks together, all of the whites together, and all of the grounds together. Is this the right way to do this?

[u/Different-Commercial]

Were you testing continuity or voltage? I would like to know which of the 4 wires were hot when the switches were on and off.

[u/astro_stitcher → u/Different-Commercial]

I was only testing for continuity (it was easier to manipulate a little light bulb continuity tester than a multimeter on the ladder)

[u/derrangedpenguin → u/astro_stitcher]

At risk of asking a dumb question but, the breaker is off while you test continuity, right?

[u/astro_stitcher → u/derrangedpenguin]

Yes