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Finding the Fourth Proportional to 324.50, 447.50 and 213.78

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Solution

The fourth proportional to 324.50, 447.50 and 213.78 is: 294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.50 : 447.50 = 213.78 : x
  2. Step 2: Convert to fraction form
    324.50/447.50 = 213.78/x
  3. Step 3: Cross multiply
    324.50x = 447.50 × 213.78
  4. Step 4: Simplify right side
    324.50x = 95,665.16
  5. Step 5: Solve for x
    x = 95,665.16/324.50
  6. Step 6: Final answer
    x = 294.81

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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.