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Finding the Fourth Proportional to 449.43, 673.87 and 206.03

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Solution

The fourth proportional to 449.43, 673.87 and 206.03 is: 308.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.43 : 673.87 = 206.03 : x
  2. Step 2: Convert to fraction form
    449.43/673.87 = 206.03/x
  3. Step 3: Cross multiply
    449.43x = 673.87 × 206.03
  4. Step 4: Simplify right side
    449.43x = 138,837.44
  5. Step 5: Solve for x
    x = 138,837.44/449.43
  6. Step 6: Final answer
    x = 308.92

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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.