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Finding the Fourth Proportional to 324.34, 447.80 and 200.21

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Solution

The fourth proportional to 324.34, 447.80 and 200.21 is: 276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.34 : 447.80 = 200.21 : x
  2. Step 2: Convert to fraction form
    324.34/447.80 = 200.21/x
  3. Step 3: Cross multiply
    324.34x = 447.80 × 200.21
  4. Step 4: Simplify right side
    324.34x = 89,654.16
  5. Step 5: Solve for x
    x = 89,654.16/324.34
  6. Step 6: Final answer
    x = 276.42

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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.