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Finding the Fourth Proportional to 397.41, 548.55 and 323.61

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Solution

The fourth proportional to 397.41, 548.55 and 323.61 is: 446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.41 : 548.55 = 323.61 : x
  2. Step 2: Convert to fraction form
    397.41/548.55 = 323.61/x
  3. Step 3: Cross multiply
    397.41x = 548.55 × 323.61
  4. Step 4: Simplify right side
    397.41x = 177,516.27
  5. Step 5: Solve for x
    x = 177,516.27/397.41
  6. Step 6: Final answer
    x = 446.68

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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.