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Finding the Fourth Proportional to 324.06, 446.97 and 199.71

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Solution

The fourth proportional to 324.06, 446.97 and 199.71 is: 275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.06 : 446.97 = 199.71 : x
  2. Step 2: Convert to fraction form
    324.06/446.97 = 199.71/x
  3. Step 3: Cross multiply
    324.06x = 446.97 × 199.71
  4. Step 4: Simplify right side
    324.06x = 89,264.38
  5. Step 5: Solve for x
    x = 89,264.38/324.06
  6. Step 6: Final answer
    x = 275.46

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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.