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Finding the Fourth Proportional to 542.12, 813.40 and 268.20

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Solution

The fourth proportional to 542.12, 813.40 and 268.20 is: 402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.12 : 813.40 = 268.20 : x
  2. Step 2: Convert to fraction form
    542.12/813.40 = 268.20/x
  3. Step 3: Cross multiply
    542.12x = 813.40 × 268.20
  4. Step 4: Simplify right side
    542.12x = 218,153.88
  5. Step 5: Solve for x
    x = 218,153.88/542.12
  6. Step 6: Final answer
    x = 402.41

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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.