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Finding the Fourth Proportional to 530.52, 731.16 and 355.92

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Solution

The fourth proportional to 530.52, 731.16 and 355.92 is: 490.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.52 : 731.16 = 355.92 : x
  2. Step 2: Convert to fraction form
    530.52/731.16 = 355.92/x
  3. Step 3: Cross multiply
    530.52x = 731.16 × 355.92
  4. Step 4: Simplify right side
    530.52x = 260,234.47
  5. Step 5: Solve for x
    x = 260,234.47/530.52
  6. Step 6: Final answer
    x = 490.53

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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.