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Finding the Fourth Proportional to 324.57, 447.91 and 191.80

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Solution

The fourth proportional to 324.57, 447.91 and 191.80 is: 264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.57 : 447.91 = 191.80 : x
  2. Step 2: Convert to fraction form
    324.57/447.91 = 191.80/x
  3. Step 3: Cross multiply
    324.57x = 447.91 × 191.80
  4. Step 4: Simplify right side
    324.57x = 85,909.14
  5. Step 5: Solve for x
    x = 85,909.14/324.57
  6. Step 6: Final answer
    x = 264.69

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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.