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Finding the Fourth Proportional to 542.94, 814.41 and 406.86

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Solution

The fourth proportional to 542.94, 814.41 and 406.86 is: 610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.94 : 814.41 = 406.86 : x
  2. Step 2: Convert to fraction form
    542.94/814.41 = 406.86/x
  3. Step 3: Cross multiply
    542.94x = 814.41 × 406.86
  4. Step 4: Simplify right side
    542.94x = 331,350.85
  5. Step 5: Solve for x
    x = 331,350.85/542.94
  6. Step 6: Final answer
    x = 610.29

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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.