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Finding the Fourth Proportional to 324.76, 448.12 and 200.48

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Solution

The fourth proportional to 324.76, 448.12 and 200.48 is: 276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.76 : 448.12 = 200.48 : x
  2. Step 2: Convert to fraction form
    324.76/448.12 = 200.48/x
  3. Step 3: Cross multiply
    324.76x = 448.12 × 200.48
  4. Step 4: Simplify right side
    324.76x = 89,839.10
  5. Step 5: Solve for x
    x = 89,839.10/324.76
  6. Step 6: Final answer
    x = 276.63

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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.