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Finding the Fourth Proportional to 629.52, 944.24 and 218.62

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Solution

The fourth proportional to 629.52, 944.24 and 218.62 is: 327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.52 : 944.24 = 218.62 : x
  2. Step 2: Convert to fraction form
    629.52/944.24 = 218.62/x
  3. Step 3: Cross multiply
    629.52x = 944.24 × 218.62
  4. Step 4: Simplify right side
    629.52x = 206,429.75
  5. Step 5: Solve for x
    x = 206,429.75/629.52
  6. Step 6: Final answer
    x = 327.92

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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.