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Finding the Fourth Proportional to 562.12, 775.74 and 387.52

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Solution

The fourth proportional to 562.12, 775.74 and 387.52 is: 534.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.12 : 775.74 = 387.52 : x
  2. Step 2: Convert to fraction form
    562.12/775.74 = 387.52/x
  3. Step 3: Cross multiply
    562.12x = 775.74 × 387.52
  4. Step 4: Simplify right side
    562.12x = 300,614.76
  5. Step 5: Solve for x
    x = 300,614.76/562.12
  6. Step 6: Final answer
    x = 534.79

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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.