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Finding the Fourth Proportional to 542.42, 813.84 and 217.82

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Solution

The fourth proportional to 542.42, 813.84 and 217.82 is: 326.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.42 : 813.84 = 217.82 : x
  2. Step 2: Convert to fraction form
    542.42/813.84 = 217.82/x
  3. Step 3: Cross multiply
    542.42x = 813.84 × 217.82
  4. Step 4: Simplify right side
    542.42x = 177,270.63
  5. Step 5: Solve for x
    x = 177,270.63/542.42
  6. Step 6: Final answer
    x = 326.81

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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.