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Finding the Fourth Proportional to 323.74, 446.86 and 249.93

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Solution

The fourth proportional to 323.74, 446.86 and 249.93 is: 344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.74 : 446.86 = 249.93 : x
  2. Step 2: Convert to fraction form
    323.74/446.86 = 249.93/x
  3. Step 3: Cross multiply
    323.74x = 446.86 × 249.93
  4. Step 4: Simplify right side
    323.74x = 111,680.24
  5. Step 5: Solve for x
    x = 111,680.24/323.74
  6. Step 6: Final answer
    x = 344.97

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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.