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Finding the Fourth Proportional to 542.18, 813.28 and 294.78

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Solution

The fourth proportional to 542.18, 813.28 and 294.78 is: 442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.18 : 813.28 = 294.78 : x
  2. Step 2: Convert to fraction form
    542.18/813.28 = 294.78/x
  3. Step 3: Cross multiply
    542.18x = 813.28 × 294.78
  4. Step 4: Simplify right side
    542.18x = 239,734.61
  5. Step 5: Solve for x
    x = 239,734.61/542.18
  6. Step 6: Final answer
    x = 442.17

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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.