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Finding the Fourth Proportional to 362.68, 541.17 and 327.86

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Solution

The fourth proportional to 362.68, 541.17 and 327.86 is: 489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.68 : 541.17 = 327.86 : x
  2. Step 2: Convert to fraction form
    362.68/541.17 = 327.86/x
  3. Step 3: Cross multiply
    362.68x = 541.17 × 327.86
  4. Step 4: Simplify right side
    362.68x = 177,426.36
  5. Step 5: Solve for x
    x = 177,426.36/362.68
  6. Step 6: Final answer
    x = 489.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.