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Finding the Fourth Proportional to 392.20, 541.24 and 226.42

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Solution

The fourth proportional to 392.20, 541.24 and 226.42 is: 312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.20 : 541.24 = 226.42 : x
  2. Step 2: Convert to fraction form
    392.20/541.24 = 226.42/x
  3. Step 3: Cross multiply
    392.20x = 541.24 × 226.42
  4. Step 4: Simplify right side
    392.20x = 122,543.72
  5. Step 5: Solve for x
    x = 122,543.72/392.20
  6. Step 6: Final answer
    x = 312.45

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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.