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Finding the Fourth Proportional to 631.52, 944.76 and 562.24

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Solution

The fourth proportional to 631.52, 944.76 and 562.24 is: 841.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.52 : 944.76 = 562.24 : x
  2. Step 2: Convert to fraction form
    631.52/944.76 = 562.24/x
  3. Step 3: Cross multiply
    631.52x = 944.76 × 562.24
  4. Step 4: Simplify right side
    631.52x = 531,181.86
  5. Step 5: Solve for x
    x = 531,181.86/631.52
  6. Step 6: Final answer
    x = 841.12

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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.