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Finding the Fourth Proportional to 392.06, 541.05 and 226.31

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Solution

The fourth proportional to 392.06, 541.05 and 226.31 is: 312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.06 : 541.05 = 226.31 : x
  2. Step 2: Convert to fraction form
    392.06/541.05 = 226.31/x
  3. Step 3: Cross multiply
    392.06x = 541.05 × 226.31
  4. Step 4: Simplify right side
    392.06x = 122,442.32
  5. Step 5: Solve for x
    x = 122,442.32/392.06
  6. Step 6: Final answer
    x = 312.31

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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.