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Finding the Fourth Proportional to 542.14, 813.10 and 268.06

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Solution

The fourth proportional to 542.14, 813.10 and 268.06 is: 402.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.14 : 813.10 = 268.06 : x
  2. Step 2: Convert to fraction form
    542.14/813.10 = 268.06/x
  3. Step 3: Cross multiply
    542.14x = 813.10 × 268.06
  4. Step 4: Simplify right side
    542.14x = 217,959.59
  5. Step 5: Solve for x
    x = 217,959.59/542.14
  6. Step 6: Final answer
    x = 402.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.