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Finding the Fourth Proportional to 376.71, 564.39 and 239.42

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Solution

The fourth proportional to 376.71, 564.39 and 239.42 is: 358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.71 : 564.39 = 239.42 : x
  2. Step 2: Convert to fraction form
    376.71/564.39 = 239.42/x
  3. Step 3: Cross multiply
    376.71x = 564.39 × 239.42
  4. Step 4: Simplify right side
    376.71x = 135,123.43
  5. Step 5: Solve for x
    x = 135,123.43/376.71
  6. Step 6: Final answer
    x = 358.69

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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.