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Finding the Fourth Proportional to 449.75, 674.19 and 218.63

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Solution

The fourth proportional to 449.75, 674.19 and 218.63 is: 327.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.75 : 674.19 = 218.63 : x
  2. Step 2: Convert to fraction form
    449.75/674.19 = 218.63/x
  3. Step 3: Cross multiply
    449.75x = 674.19 × 218.63
  4. Step 4: Simplify right side
    449.75x = 147,399.85
  5. Step 5: Solve for x
    x = 147,399.85/449.75
  6. Step 6: Final answer
    x = 327.74

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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.