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Finding the Fourth Proportional to 392.47, 541.70 and 226.78

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Solution

The fourth proportional to 392.47, 541.70 and 226.78 is: 313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.47 : 541.70 = 226.78 : x
  2. Step 2: Convert to fraction form
    392.47/541.70 = 226.78/x
  3. Step 3: Cross multiply
    392.47x = 541.70 × 226.78
  4. Step 4: Simplify right side
    392.47x = 122,845.73
  5. Step 5: Solve for x
    x = 122,845.73/392.47
  6. Step 6: Final answer
    x = 313.01

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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.