Dead circuit / outlets
Continuity is NOT a good test as it only verifies a circuit, not how much the wire will carry, ie, a braided wire with only a few strands will test continuous but not carry a designed load.  Have you tried disconnecting each appliance at the its personal connection and taking a reading there to verify the voltage there as opposed to the fuse box ?? If the 240 is present then each appliance individually should be working.  If not is there a reset button, (thinking of a possible surge kicking off the resets but power showing oK after the surge)(we had a lightning hit transformer blow and it kicked every reset and switch in the house).  Get a good set of clamps so that YOU are not holding your test leads in place, remember, circuit brkr OFF,  disconnect or  clamp, close brkr, test reading, check reset, If ALL good  then on to next appliance.