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Finding the Fourth Proportional to 668.12, 1,002.38 and 449.62

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Solution

The fourth proportional to 668.12, 1,002.38 and 449.62 is: 674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.12 : 1,002.38 = 449.62 : x
  2. Step 2: Convert to fraction form
    668.12/1,002.38 = 449.62/x
  3. Step 3: Cross multiply
    668.12x = 1,002.38 × 449.62
  4. Step 4: Simplify right side
    668.12x = 450,685.34
  5. Step 5: Solve for x
    x = 450,685.34/668.12
  6. Step 6: Final answer
    x = 674.56

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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.