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Finding the Fourth Proportional to 381.97, 573.20 and 219.97

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Solution

The fourth proportional to 381.97, 573.20 and 219.97 is: 330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.97 : 573.20 = 219.97 : x
  2. Step 2: Convert to fraction form
    381.97/573.20 = 219.97/x
  3. Step 3: Cross multiply
    381.97x = 573.20 × 219.97
  4. Step 4: Simplify right side
    381.97x = 126,086.80
  5. Step 5: Solve for x
    x = 126,086.80/381.97
  6. Step 6: Final answer
    x = 330.10

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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.