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Finding the Fourth Proportional to 449.26, 677.11 and 424.14

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Solution

The fourth proportional to 449.26, 677.11 and 424.14 is: 639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.26 : 677.11 = 424.14 : x
  2. Step 2: Convert to fraction form
    449.26/677.11 = 424.14/x
  3. Step 3: Cross multiply
    449.26x = 677.11 × 424.14
  4. Step 4: Simplify right side
    449.26x = 287,188.38
  5. Step 5: Solve for x
    x = 287,188.38/449.26
  6. Step 6: Final answer
    x = 639.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.