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Finding the Fourth Proportional to 449.70, 674.04 and 267.24

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Solution

The fourth proportional to 449.70, 674.04 and 267.24 is: 400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.70 : 674.04 = 267.24 : x
  2. Step 2: Convert to fraction form
    449.70/674.04 = 267.24/x
  3. Step 3: Cross multiply
    449.70x = 674.04 × 267.24
  4. Step 4: Simplify right side
    449.70x = 180,130.45
  5. Step 5: Solve for x
    x = 180,130.45/449.70
  6. Step 6: Final answer
    x = 400.56

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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.