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Finding the Fourth Proportional to 542.42, 813.29 and 268.59

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Solution

The fourth proportional to 542.42, 813.29 and 268.59 is: 402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.42 : 813.29 = 268.59 : x
  2. Step 2: Convert to fraction form
    542.42/813.29 = 268.59/x
  3. Step 3: Cross multiply
    542.42x = 813.29 × 268.59
  4. Step 4: Simplify right side
    542.42x = 218,442.49
  5. Step 5: Solve for x
    x = 218,442.49/542.42
  6. Step 6: Final answer
    x = 402.72

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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.