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Finding the Fourth Proportional to 534.71, 737.57 and 324.74

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Solution

The fourth proportional to 534.71, 737.57 and 324.74 is: 447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.71 : 737.57 = 324.74 : x
  2. Step 2: Convert to fraction form
    534.71/737.57 = 324.74/x
  3. Step 3: Cross multiply
    534.71x = 737.57 × 324.74
  4. Step 4: Simplify right side
    534.71x = 239,515.61
  5. Step 5: Solve for x
    x = 239,515.61/534.71
  6. Step 6: Final answer
    x = 447.94

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