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Finding the Fourth Proportional to 414.50, 571.92 and 239.84

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Solution

The fourth proportional to 414.50, 571.92 and 239.84 is: 330.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.50 : 571.92 = 239.84 : x
  2. Step 2: Convert to fraction form
    414.50/571.92 = 239.84/x
  3. Step 3: Cross multiply
    414.50x = 571.92 × 239.84
  4. Step 4: Simplify right side
    414.50x = 137,169.29
  5. Step 5: Solve for x
    x = 137,169.29/414.50
  6. Step 6: Final answer
    x = 330.93

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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.