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Finding the Fourth Proportional to 324.24, 447.36 and 213.84

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Solution

The fourth proportional to 324.24, 447.36 and 213.84 is: 295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.24 : 447.36 = 213.84 : x
  2. Step 2: Convert to fraction form
    324.24/447.36 = 213.84/x
  3. Step 3: Cross multiply
    324.24x = 447.36 × 213.84
  4. Step 4: Simplify right side
    324.24x = 95,663.46
  5. Step 5: Solve for x
    x = 95,663.46/324.24
  6. Step 6: Final answer
    x = 295.04

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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.