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Finding the Fourth Proportional to 449.60, 674.16 and 218.42

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Solution

The fourth proportional to 449.60, 674.16 and 218.42 is: 327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.60 : 674.16 = 218.42 : x
  2. Step 2: Convert to fraction form
    449.60/674.16 = 218.42/x
  3. Step 3: Cross multiply
    449.60x = 674.16 × 218.42
  4. Step 4: Simplify right side
    449.60x = 147,250.03
  5. Step 5: Solve for x
    x = 147,250.03/449.60
  6. Step 6: Final answer
    x = 327.51

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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.