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Finding the Fourth Proportional to 438.56, 658.11 and 256.31

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Solution

The fourth proportional to 438.56, 658.11 and 256.31 is: 384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.56 : 658.11 = 256.31 : x
  2. Step 2: Convert to fraction form
    438.56/658.11 = 256.31/x
  3. Step 3: Cross multiply
    438.56x = 658.11 × 256.31
  4. Step 4: Simplify right side
    438.56x = 168,680.17
  5. Step 5: Solve for x
    x = 168,680.17/438.56
  6. Step 6: Final answer
    x = 384.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.