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Finding the Fourth Proportional to 449.26, 673.89 and 205.72

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Solution

The fourth proportional to 449.26, 673.89 and 205.72 is: 308.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.26 : 673.89 = 205.72 : x
  2. Step 2: Convert to fraction form
    449.26/673.89 = 205.72/x
  3. Step 3: Cross multiply
    449.26x = 673.89 × 205.72
  4. Step 4: Simplify right side
    449.26x = 138,632.65
  5. Step 5: Solve for x
    x = 138,632.65/449.26
  6. Step 6: Final answer
    x = 308.58

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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.