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Finding the Fourth Proportional to 382.67, 573.61 and 220.03

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Solution

The fourth proportional to 382.67, 573.61 and 220.03 is: 329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.67 : 573.61 = 220.03 : x
  2. Step 2: Convert to fraction form
    382.67/573.61 = 220.03/x
  3. Step 3: Cross multiply
    382.67x = 573.61 × 220.03
  4. Step 4: Simplify right side
    382.67x = 126,211.41
  5. Step 5: Solve for x
    x = 126,211.41/382.67
  6. Step 6: Final answer
    x = 329.82

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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.