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Finding the Fourth Proportional to 382.66, 527.72 and 251.44

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Solution

The fourth proportional to 382.66, 527.72 and 251.44 is: 346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.66 : 527.72 = 251.44 : x
  2. Step 2: Convert to fraction form
    382.66/527.72 = 251.44/x
  3. Step 3: Cross multiply
    382.66x = 527.72 × 251.44
  4. Step 4: Simplify right side
    382.66x = 132,687.34
  5. Step 5: Solve for x
    x = 132,687.34/382.66
  6. Step 6: Final answer
    x = 346.75

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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.