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Finding the Fourth Proportional to 324.64, 447.66 and 213.97

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Solution

The fourth proportional to 324.64, 447.66 and 213.97 is: 295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.64 : 447.66 = 213.97 : x
  2. Step 2: Convert to fraction form
    324.64/447.66 = 213.97/x
  3. Step 3: Cross multiply
    324.64x = 447.66 × 213.97
  4. Step 4: Simplify right side
    324.64x = 95,785.81
  5. Step 5: Solve for x
    x = 95,785.81/324.64
  6. Step 6: Final answer
    x = 295.06

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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.