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Finding the Fourth Proportional to 323.92, 447.04 and 211.76

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Solution

The fourth proportional to 323.92, 447.04 and 211.76 is: 292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.92 : 447.04 = 211.76 : x
  2. Step 2: Convert to fraction form
    323.92/447.04 = 211.76/x
  3. Step 3: Cross multiply
    323.92x = 447.04 × 211.76
  4. Step 4: Simplify right side
    323.92x = 94,665.19
  5. Step 5: Solve for x
    x = 94,665.19/323.92
  6. Step 6: Final answer
    x = 292.25

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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.