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Finding the Fourth Proportional to 324.08, 447.46 and 199.91

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Solution

The fourth proportional to 324.08, 447.46 and 199.91 is: 276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.08 : 447.46 = 199.91 : x
  2. Step 2: Convert to fraction form
    324.08/447.46 = 199.91/x
  3. Step 3: Cross multiply
    324.08x = 447.46 × 199.91
  4. Step 4: Simplify right side
    324.08x = 89,451.73
  5. Step 5: Solve for x
    x = 89,451.73/324.08
  6. Step 6: Final answer
    x = 276.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.