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Finding the Fourth Proportional to 382.56, 574.38 and 220.56

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Solution

The fourth proportional to 382.56, 574.38 and 220.56 is: 331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.56 : 574.38 = 220.56 : x
  2. Step 2: Convert to fraction form
    382.56/574.38 = 220.56/x
  3. Step 3: Cross multiply
    382.56x = 574.38 × 220.56
  4. Step 4: Simplify right side
    382.56x = 126,685.25
  5. Step 5: Solve for x
    x = 126,685.25/382.56
  6. Step 6: Final answer
    x = 331.15

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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.