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Finding the Fourth Proportional to 912.05, 1,367.41 and 449.71

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Solution

The fourth proportional to 912.05, 1,367.41 and 449.71 is: 674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.05 : 1,367.41 = 449.71 : x
  2. Step 2: Convert to fraction form
    912.05/1,367.41 = 449.71/x
  3. Step 3: Cross multiply
    912.05x = 1,367.41 × 449.71
  4. Step 4: Simplify right side
    912.05x = 614,937.95
  5. Step 5: Solve for x
    x = 614,937.95/912.05
  6. Step 6: Final answer
    x = 674.24

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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.