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Finding the Fourth Proportional to 381.40, 572.46 and 327.88

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Solution

The fourth proportional to 381.40, 572.46 and 327.88 is: 492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.40 : 572.46 = 327.88 : x
  2. Step 2: Convert to fraction form
    381.40/572.46 = 327.88/x
  3. Step 3: Cross multiply
    381.40x = 572.46 × 327.88
  4. Step 4: Simplify right side
    381.40x = 187,698.18
  5. Step 5: Solve for x
    x = 187,698.18/381.40
  6. Step 6: Final answer
    x = 492.13

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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.