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Finding the Fourth Proportional to 332.32, 458.72 and 239.12

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Solution

The fourth proportional to 332.32, 458.72 and 239.12 is: 330.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.32 : 458.72 = 239.12 : x
  2. Step 2: Convert to fraction form
    332.32/458.72 = 239.12/x
  3. Step 3: Cross multiply
    332.32x = 458.72 × 239.12
  4. Step 4: Simplify right side
    332.32x = 109,689.13
  5. Step 5: Solve for x
    x = 109,689.13/332.32
  6. Step 6: Final answer
    x = 330.07

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