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Finding the Fourth Proportional to 414.38, 571.85 and 239.78

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Solution

The fourth proportional to 414.38, 571.85 and 239.78 is: 330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.38 : 571.85 = 239.78 : x
  2. Step 2: Convert to fraction form
    414.38/571.85 = 239.78/x
  3. Step 3: Cross multiply
    414.38x = 571.85 × 239.78
  4. Step 4: Simplify right side
    414.38x = 137,114.13
  5. Step 5: Solve for x
    x = 137,114.13/414.38
  6. Step 6: Final answer
    x = 330.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.