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Finding the Fourth Proportional to 382.01, 527.31 and 282.24

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Solution

The fourth proportional to 382.01, 527.31 and 282.24 is: 389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.01 : 527.31 = 282.24 : x
  2. Step 2: Convert to fraction form
    382.01/527.31 = 282.24/x
  3. Step 3: Cross multiply
    382.01x = 527.31 × 282.24
  4. Step 4: Simplify right side
    382.01x = 148,827.97
  5. Step 5: Solve for x
    x = 148,827.97/382.01
  6. Step 6: Final answer
    x = 389.60

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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.