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Finding the Fourth Proportional to 449.80, 674.47 and 206.05

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Solution

The fourth proportional to 449.80, 674.47 and 206.05 is: 308.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.80 : 674.47 = 206.05 : x
  2. Step 2: Convert to fraction form
    449.80/674.47 = 206.05/x
  3. Step 3: Cross multiply
    449.80x = 674.47 × 206.05
  4. Step 4: Simplify right side
    449.80x = 138,974.54
  5. Step 5: Solve for x
    x = 138,974.54/449.80
  6. Step 6: Final answer
    x = 308.97

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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.