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Finding the Fourth Proportional to 539.52, 807.31 and 331.44

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Solution

The fourth proportional to 539.52, 807.31 and 331.44 is: 495.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.52 : 807.31 = 331.44 : x
  2. Step 2: Convert to fraction form
    539.52/807.31 = 331.44/x
  3. Step 3: Cross multiply
    539.52x = 807.31 × 331.44
  4. Step 4: Simplify right side
    539.52x = 267,574.83
  5. Step 5: Solve for x
    x = 267,574.83/539.52
  6. Step 6: Final answer
    x = 495.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.