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Finding the Fourth Proportional to 414.34, 571.78 and 239.68

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Solution

The fourth proportional to 414.34, 571.78 and 239.68 is: 330.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.34 : 571.78 = 239.68 : x
  2. Step 2: Convert to fraction form
    414.34/571.78 = 239.68/x
  3. Step 3: Cross multiply
    414.34x = 571.78 × 239.68
  4. Step 4: Simplify right side
    414.34x = 137,044.23
  5. Step 5: Solve for x
    x = 137,044.23/414.34
  6. Step 6: Final answer
    x = 330.75

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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.