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Finding the Fourth Proportional to 532.90, 736.08 and 392.80

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Solution

The fourth proportional to 532.90, 736.08 and 392.80 is: 542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.90 : 736.08 = 392.80 : x
  2. Step 2: Convert to fraction form
    532.90/736.08 = 392.80/x
  3. Step 3: Cross multiply
    532.90x = 736.08 × 392.80
  4. Step 4: Simplify right side
    532.90x = 289,132.22
  5. Step 5: Solve for x
    x = 289,132.22/532.90
  6. Step 6: Final answer
    x = 542.56

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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.