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Finding the Fourth Proportional to 323.92, 447.44 and 277.76

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Solution

The fourth proportional to 323.92, 447.44 and 277.76 is: 383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.92 : 447.44 = 277.76 : x
  2. Step 2: Convert to fraction form
    323.92/447.44 = 277.76/x
  3. Step 3: Cross multiply
    323.92x = 447.44 × 277.76
  4. Step 4: Simplify right side
    323.92x = 124,280.93
  5. Step 5: Solve for x
    x = 124,280.93/323.92
  6. Step 6: Final answer
    x = 383.68

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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.