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Finding the Fourth Proportional to 449.60, 674.36 and 268.14

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Solution

The fourth proportional to 449.60, 674.36 and 268.14 is: 402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.60 : 674.36 = 268.14 : x
  2. Step 2: Convert to fraction form
    449.60/674.36 = 268.14/x
  3. Step 3: Cross multiply
    449.60x = 674.36 × 268.14
  4. Step 4: Simplify right side
    449.60x = 180,821.55
  5. Step 5: Solve for x
    x = 180,821.55/449.60
  6. Step 6: Final answer
    x = 402.19

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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.