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Finding the Fourth Proportional to 324.41, 446.96 and 213.68

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Solution

The fourth proportional to 324.41, 446.96 and 213.68 is: 294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.41 : 446.96 = 213.68 : x
  2. Step 2: Convert to fraction form
    324.41/446.96 = 213.68/x
  3. Step 3: Cross multiply
    324.41x = 446.96 × 213.68
  4. Step 4: Simplify right side
    324.41x = 95,508.06
  5. Step 5: Solve for x
    x = 95,508.06/324.41
  6. Step 6: Final answer
    x = 294.41

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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.