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Finding the Fourth Proportional to 324.34, 447.71 and 200.02

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Solution

The fourth proportional to 324.34, 447.71 and 200.02 is: 276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.34 : 447.71 = 200.02 : x
  2. Step 2: Convert to fraction form
    324.34/447.71 = 200.02/x
  3. Step 3: Cross multiply
    324.34x = 447.71 × 200.02
  4. Step 4: Simplify right side
    324.34x = 89,550.95
  5. Step 5: Solve for x
    x = 89,550.95/324.34
  6. Step 6: Final answer
    x = 276.10

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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.