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Finding the Fourth Proportional to 392.34, 541.38 and 226.56

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Solution

The fourth proportional to 392.34, 541.38 and 226.56 is: 312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.34 : 541.38 = 226.56 : x
  2. Step 2: Convert to fraction form
    392.34/541.38 = 226.56/x
  3. Step 3: Cross multiply
    392.34x = 541.38 × 226.56
  4. Step 4: Simplify right side
    392.34x = 122,655.05
  5. Step 5: Solve for x
    x = 122,655.05/392.34
  6. Step 6: Final answer
    x = 312.62

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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.