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Finding the Fourth Proportional to 324.69, 447.99 and 200.22

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Solution

The fourth proportional to 324.69, 447.99 and 200.22 is: 276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.69 : 447.99 = 200.22 : x
  2. Step 2: Convert to fraction form
    324.69/447.99 = 200.22/x
  3. Step 3: Cross multiply
    324.69x = 447.99 × 200.22
  4. Step 4: Simplify right side
    324.69x = 89,696.56
  5. Step 5: Solve for x
    x = 89,696.56/324.69
  6. Step 6: Final answer
    x = 276.25

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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.