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Finding the Fourth Proportional to 424.14, 638.28 and 351.60

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Solution

The fourth proportional to 424.14, 638.28 and 351.60 is: 529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.14 : 638.28 = 351.60 : x
  2. Step 2: Convert to fraction form
    424.14/638.28 = 351.60/x
  3. Step 3: Cross multiply
    424.14x = 638.28 × 351.60
  4. Step 4: Simplify right side
    424.14x = 224,419.25
  5. Step 5: Solve for x
    x = 224,419.25/424.14
  6. Step 6: Final answer
    x = 529.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.