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Finding the Fourth Proportional to 542.84, 814.26 and 299.84

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Solution

The fourth proportional to 542.84, 814.26 and 299.84 is: 449.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.84 : 814.26 = 299.84 : x
  2. Step 2: Convert to fraction form
    542.84/814.26 = 299.84/x
  3. Step 3: Cross multiply
    542.84x = 814.26 × 299.84
  4. Step 4: Simplify right side
    542.84x = 244,147.72
  5. Step 5: Solve for x
    x = 244,147.72/542.84
  6. Step 6: Final answer
    x = 449.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.