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Finding the Fourth Proportional to 574.04, 791.04 and 536.96

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Solution

The fourth proportional to 574.04, 791.04 and 536.96 is: 739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.04 : 791.04 = 536.96 : x
  2. Step 2: Convert to fraction form
    574.04/791.04 = 536.96/x
  3. Step 3: Cross multiply
    574.04x = 791.04 × 536.96
  4. Step 4: Simplify right side
    574.04x = 424,756.84
  5. Step 5: Solve for x
    x = 424,756.84/574.04
  6. Step 6: Final answer
    x = 739.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.