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Finding the Fourth Proportional to 324.14, 447.26 and 213.44

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Solution

The fourth proportional to 324.14, 447.26 and 213.44 is: 294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.14 : 447.26 = 213.44 : x
  2. Step 2: Convert to fraction form
    324.14/447.26 = 213.44/x
  3. Step 3: Cross multiply
    324.14x = 447.26 × 213.44
  4. Step 4: Simplify right side
    324.14x = 95,459.87
  5. Step 5: Solve for x
    x = 95,459.87/324.14
  6. Step 6: Final answer
    x = 294.51

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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.