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Finding the Fourth Proportional to 542.75, 814.33 and 213.85

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Solution

The fourth proportional to 542.75, 814.33 and 213.85 is: 320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 814.33 = 213.85 : x
  2. Step 2: Convert to fraction form
    542.75/814.33 = 213.85/x
  3. Step 3: Cross multiply
    542.75x = 814.33 × 213.85
  4. Step 4: Simplify right side
    542.75x = 174,142.86
  5. Step 5: Solve for x
    x = 174,142.86/542.75
  6. Step 6: Final answer
    x = 320.85

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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.