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Finding the Fourth Proportional to 392.60, 541.85 and 226.83

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Solution

The fourth proportional to 392.60, 541.85 and 226.83 is: 313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.60 : 541.85 = 226.83 : x
  2. Step 2: Convert to fraction form
    392.60/541.85 = 226.83/x
  3. Step 3: Cross multiply
    392.60x = 541.85 × 226.83
  4. Step 4: Simplify right side
    392.60x = 122,906.70
  5. Step 5: Solve for x
    x = 122,906.70/392.60
  6. Step 6: Final answer
    x = 313.06

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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.