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Finding the Fourth Proportional to 393.20, 542.43 and 276.83

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Solution

The fourth proportional to 393.20, 542.43 and 276.83 is: 381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.20 : 542.43 = 276.83 : x
  2. Step 2: Convert to fraction form
    393.20/542.43 = 276.83/x
  3. Step 3: Cross multiply
    393.20x = 542.43 × 276.83
  4. Step 4: Simplify right side
    393.20x = 150,160.90
  5. Step 5: Solve for x
    x = 150,160.90/393.20
  6. Step 6: Final answer
    x = 381.89

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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.