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Finding the Fourth Proportional to 392.05, 541.07 and 226.27

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Solution

The fourth proportional to 392.05, 541.07 and 226.27 is: 312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.05 : 541.07 = 226.27 : x
  2. Step 2: Convert to fraction form
    392.05/541.07 = 226.27/x
  3. Step 3: Cross multiply
    392.05x = 541.07 × 226.27
  4. Step 4: Simplify right side
    392.05x = 122,428.30
  5. Step 5: Solve for x
    x = 122,428.30/392.05
  6. Step 6: Final answer
    x = 312.28

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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.