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Finding the Fourth Proportional to 324.48, 447.50 and 213.84

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Solution

The fourth proportional to 324.48, 447.50 and 213.84 is: 294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.48 : 447.50 = 213.84 : x
  2. Step 2: Convert to fraction form
    324.48/447.50 = 213.84/x
  3. Step 3: Cross multiply
    324.48x = 447.50 × 213.84
  4. Step 4: Simplify right side
    324.48x = 95,693.33
  5. Step 5: Solve for x
    x = 95,693.33/324.48
  6. Step 6: Final answer
    x = 294.91

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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.