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Finding the Fourth Proportional to 392.61, 541.85 and 217.97

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Solution

The fourth proportional to 392.61, 541.85 and 217.97 is: 300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.61 : 541.85 = 217.97 : x
  2. Step 2: Convert to fraction form
    392.61/541.85 = 217.97/x
  3. Step 3: Cross multiply
    392.61x = 541.85 × 217.97
  4. Step 4: Simplify right side
    392.61x = 118,107.04
  5. Step 5: Solve for x
    x = 118,107.04/392.61
  6. Step 6: Final answer
    x = 300.83

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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.