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Finding the Fourth Proportional to 542.98, 814.88 and 299.71

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Solution

The fourth proportional to 542.98, 814.88 and 299.71 is: 449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.98 : 814.88 = 299.71 : x
  2. Step 2: Convert to fraction form
    542.98/814.88 = 299.71/x
  3. Step 3: Cross multiply
    542.98x = 814.88 × 299.71
  4. Step 4: Simplify right side
    542.98x = 244,227.68
  5. Step 5: Solve for x
    x = 244,227.68/542.98
  6. Step 6: Final answer
    x = 449.79

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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.