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Finding the Fourth Proportional to 392.42, 541.64 and 226.61

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Solution

The fourth proportional to 392.42, 541.64 and 226.61 is: 312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.42 : 541.64 = 226.61 : x
  2. Step 2: Convert to fraction form
    392.42/541.64 = 226.61/x
  3. Step 3: Cross multiply
    392.42x = 541.64 × 226.61
  4. Step 4: Simplify right side
    392.42x = 122,741.04
  5. Step 5: Solve for x
    x = 122,741.04/392.42
  6. Step 6: Final answer
    x = 312.78

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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.