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Finding the Fourth Proportional to 324.39, 447.59 and 200.06

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Solution

The fourth proportional to 324.39, 447.59 and 200.06 is: 276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.39 : 447.59 = 200.06 : x
  2. Step 2: Convert to fraction form
    324.39/447.59 = 200.06/x
  3. Step 3: Cross multiply
    324.39x = 447.59 × 200.06
  4. Step 4: Simplify right side
    324.39x = 89,544.86
  5. Step 5: Solve for x
    x = 89,544.86/324.39
  6. Step 6: Final answer
    x = 276.04

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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.