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Finding the Fourth Proportional to 414.32, 571.80 and 239.72

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Solution

The fourth proportional to 414.32, 571.80 and 239.72 is: 330.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.32 : 571.80 = 239.72 : x
  2. Step 2: Convert to fraction form
    414.32/571.80 = 239.72/x
  3. Step 3: Cross multiply
    414.32x = 571.80 × 239.72
  4. Step 4: Simplify right side
    414.32x = 137,071.90
  5. Step 5: Solve for x
    x = 137,071.90/414.32
  6. Step 6: Final answer
    x = 330.84

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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.