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Finding the Fourth Proportional to 324.14, 447.57 and 213.83

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Solution

The fourth proportional to 324.14, 447.57 and 213.83 is: 295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.14 : 447.57 = 213.83 : x
  2. Step 2: Convert to fraction form
    324.14/447.57 = 213.83/x
  3. Step 3: Cross multiply
    324.14x = 447.57 × 213.83
  4. Step 4: Simplify right side
    324.14x = 95,701.66
  5. Step 5: Solve for x
    x = 95,701.66/324.14
  6. Step 6: Final answer
    x = 295.25

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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.