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Finding the Fourth Proportional to 543.38, 813.96 and 268.61

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Solution

The fourth proportional to 543.38, 813.96 and 268.61 is: 402.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.38 : 813.96 = 268.61 : x
  2. Step 2: Convert to fraction form
    543.38/813.96 = 268.61/x
  3. Step 3: Cross multiply
    543.38x = 813.96 × 268.61
  4. Step 4: Simplify right side
    543.38x = 218,633.73
  5. Step 5: Solve for x
    x = 218,633.73/543.38
  6. Step 6: Final answer
    x = 402.36

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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.