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Finding the Fourth Proportional to 633.28, 949.14 and 449.68

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Solution

The fourth proportional to 633.28, 949.14 and 449.68 is: 673.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.28 : 949.14 = 449.68 : x
  2. Step 2: Convert to fraction form
    633.28/949.14 = 449.68/x
  3. Step 3: Cross multiply
    633.28x = 949.14 × 449.68
  4. Step 4: Simplify right side
    633.28x = 426,811.30
  5. Step 5: Solve for x
    x = 426,811.30/633.28
  6. Step 6: Final answer
    x = 673.97

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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.