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Finding the Fourth Proportional to 542.62, 813.94 and 217.98

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Solution

The fourth proportional to 542.62, 813.94 and 217.98 is: 326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.62 : 813.94 = 217.98 : x
  2. Step 2: Convert to fraction form
    542.62/813.94 = 217.98/x
  3. Step 3: Cross multiply
    542.62x = 813.94 × 217.98
  4. Step 4: Simplify right side
    542.62x = 177,422.64
  5. Step 5: Solve for x
    x = 177,422.64/542.62
  6. Step 6: Final answer
    x = 326.97

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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.