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Finding the Fourth Proportional to 534.24, 801.72 and 371.64

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Solution

The fourth proportional to 534.24, 801.72 and 371.64 is: 557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.24 : 801.72 = 371.64 : x
  2. Step 2: Convert to fraction form
    534.24/801.72 = 371.64/x
  3. Step 3: Cross multiply
    534.24x = 801.72 × 371.64
  4. Step 4: Simplify right side
    534.24x = 297,951.22
  5. Step 5: Solve for x
    x = 297,951.22/534.24
  6. Step 6: Final answer
    x = 557.71

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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.