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Finding the Fourth Proportional to 542.40, 813.94 and 217.76

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Solution

The fourth proportional to 542.40, 813.94 and 217.76 is: 326.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.40 : 813.94 = 217.76 : x
  2. Step 2: Convert to fraction form
    542.40/813.94 = 217.76/x
  3. Step 3: Cross multiply
    542.40x = 813.94 × 217.76
  4. Step 4: Simplify right side
    542.40x = 177,243.57
  5. Step 5: Solve for x
    x = 177,243.57/542.40
  6. Step 6: Final answer
    x = 326.78

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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.