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Finding the Fourth Proportional to 324.29, 447.66 and 213.57

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Solution

The fourth proportional to 324.29, 447.66 and 213.57 is: 294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.29 : 447.66 = 213.57 : x
  2. Step 2: Convert to fraction form
    324.29/447.66 = 213.57/x
  3. Step 3: Cross multiply
    324.29x = 447.66 × 213.57
  4. Step 4: Simplify right side
    324.29x = 95,607.19
  5. Step 5: Solve for x
    x = 95,607.19/324.29
  6. Step 6: Final answer
    x = 294.82

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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.