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Finding the Fourth Proportional to 324.17, 447.42 and 213.65

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Solution

The fourth proportional to 324.17, 447.42 and 213.65 is: 294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.17 : 447.42 = 213.65 : x
  2. Step 2: Convert to fraction form
    324.17/447.42 = 213.65/x
  3. Step 3: Cross multiply
    324.17x = 447.42 × 213.65
  4. Step 4: Simplify right side
    324.17x = 95,594.04
  5. Step 5: Solve for x
    x = 95,594.04/324.17
  6. Step 6: Final answer
    x = 294.89

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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.