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Finding the Fourth Proportional to 532.92, 735.82 and 460.02

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Solution

The fourth proportional to 532.92, 735.82 and 460.02 is: 635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.92 : 735.82 = 460.02 : x
  2. Step 2: Convert to fraction form
    532.92/735.82 = 460.02/x
  3. Step 3: Cross multiply
    532.92x = 735.82 × 460.02
  4. Step 4: Simplify right side
    532.92x = 338,491.92
  5. Step 5: Solve for x
    x = 338,491.92/532.92
  6. Step 6: Final answer
    x = 635.16

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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.