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Finding the Fourth Proportional to 449.06, 673.68 and 205.46

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Solution

The fourth proportional to 449.06, 673.68 and 205.46 is: 308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.06 : 673.68 = 205.46 : x
  2. Step 2: Convert to fraction form
    449.06/673.68 = 205.46/x
  3. Step 3: Cross multiply
    449.06x = 673.68 × 205.46
  4. Step 4: Simplify right side
    449.06x = 138,414.29
  5. Step 5: Solve for x
    x = 138,414.29/449.06
  6. Step 6: Final answer
    x = 308.23

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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.