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Finding the Fourth Proportional to 532.91, 736.07 and 385.31

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Solution

The fourth proportional to 532.91, 736.07 and 385.31 is: 532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.91 : 736.07 = 385.31 : x
  2. Step 2: Convert to fraction form
    532.91/736.07 = 385.31/x
  3. Step 3: Cross multiply
    532.91x = 736.07 × 385.31
  4. Step 4: Simplify right side
    532.91x = 283,609.52
  5. Step 5: Solve for x
    x = 283,609.52/532.91
  6. Step 6: Final answer
    x = 532.20

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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.