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Finding the Fourth Proportional to 449.25, 673.83 and 205.71

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Solution

The fourth proportional to 449.25, 673.83 and 205.71 is: 308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.25 : 673.83 = 205.71 : x
  2. Step 2: Convert to fraction form
    449.25/673.83 = 205.71/x
  3. Step 3: Cross multiply
    449.25x = 673.83 × 205.71
  4. Step 4: Simplify right side
    449.25x = 138,613.57
  5. Step 5: Solve for x
    x = 138,613.57/449.25
  6. Step 6: Final answer
    x = 308.54

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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.