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Finding the Fourth Proportional to 542.30, 813.44 and 217.89

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Solution

The fourth proportional to 542.30, 813.44 and 217.89 is: 326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.30 : 813.44 = 217.89 : x
  2. Step 2: Convert to fraction form
    542.30/813.44 = 217.89/x
  3. Step 3: Cross multiply
    542.30x = 813.44 × 217.89
  4. Step 4: Simplify right side
    542.30x = 177,240.99
  5. Step 5: Solve for x
    x = 177,240.99/542.30
  6. Step 6: Final answer
    x = 326.84

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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.