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Finding the Fourth Proportional to 950.27, 1,424.90 and 449.42

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Solution

The fourth proportional to 950.27, 1,424.90 and 449.42 is: 673.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.27 : 1,424.90 = 449.42 : x
  2. Step 2: Convert to fraction form
    950.27/1,424.90 = 449.42/x
  3. Step 3: Cross multiply
    950.27x = 1,424.90 × 449.42
  4. Step 4: Simplify right side
    950.27x = 640,369.19
  5. Step 5: Solve for x
    x = 640,369.19/950.27
  6. Step 6: Final answer
    x = 673.88

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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.