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Finding the Fourth Proportional to 323.86, 446.97 and 274.54

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Solution

The fourth proportional to 323.86, 446.97 and 274.54 is: 378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.86 : 446.97 = 274.54 : x
  2. Step 2: Convert to fraction form
    323.86/446.97 = 274.54/x
  3. Step 3: Cross multiply
    323.86x = 446.97 × 274.54
  4. Step 4: Simplify right side
    323.86x = 122,711.14
  5. Step 5: Solve for x
    x = 122,711.14/323.86
  6. Step 6: Final answer
    x = 378.90

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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.