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Finding the Fourth Proportional to 534.28, 801.42 and 149.52

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Solution

The fourth proportional to 534.28, 801.42 and 149.52 is: 224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.28 : 801.42 = 149.52 : x
  2. Step 2: Convert to fraction form
    534.28/801.42 = 149.52/x
  3. Step 3: Cross multiply
    534.28x = 801.42 × 149.52
  4. Step 4: Simplify right side
    534.28x = 119,828.32
  5. Step 5: Solve for x
    x = 119,828.32/534.28
  6. Step 6: Final answer
    x = 224.28

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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.