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Finding the Fourth Proportional to 382.31, 527.52 and 234.92

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Solution

The fourth proportional to 382.31, 527.52 and 234.92 is: 324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.31 : 527.52 = 234.92 : x
  2. Step 2: Convert to fraction form
    382.31/527.52 = 234.92/x
  3. Step 3: Cross multiply
    382.31x = 527.52 × 234.92
  4. Step 4: Simplify right side
    382.31x = 123,922.36
  5. Step 5: Solve for x
    x = 123,922.36/382.31
  6. Step 6: Final answer
    x = 324.15

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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.