The New Zealand quad held on to win the 2000m race in a time of 6m 31.98s, almost two seconds ahead of Romania.
The women's quad, made up of Hyde (Rotorua RC, Waikato RPC), Hannah Osborne (Waikato RPC, Te Awamutu RC), Allie Smith (Waikato RPC, Waikato RC) and Olivia Loe (Southern RPC, Avon RC), will race in the A Final early tomorrow.
"It should be tough," Hyde said. "First is definitely our aim."
Meanwhile, Francis and the New Zealand U23 men's quad finished second during their heat on Wednesday and have qualified for the semifinals.
Racing in lane six in their heat, they finished two seconds behind Switzerland in a time of 5m 46.60s, which gave them the fourth best time out of the three heats and 17 crews.
Their semifinal is set to take place about 8.30pm tonight (NZT).
The U23 World Rowing Championships run until late tomorrow night. Races are being held at the Linz-Ottensheim course in northern Austria.