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Finding the Fourth Proportional to 542.60, 814.23 and 299.28

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Solution

The fourth proportional to 542.60, 814.23 and 299.28 is: 449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.60 : 814.23 = 299.28 : x
  2. Step 2: Convert to fraction form
    542.60/814.23 = 299.28/x
  3. Step 3: Cross multiply
    542.60x = 814.23 × 299.28
  4. Step 4: Simplify right side
    542.60x = 243,682.75
  5. Step 5: Solve for x
    x = 243,682.75/542.60
  6. Step 6: Final answer
    x = 449.11

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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.