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Finding the Fourth Proportional to 392.41, 541.65 and 226.74

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Solution

The fourth proportional to 392.41, 541.65 and 226.74 is: 312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.41 : 541.65 = 226.74 : x
  2. Step 2: Convert to fraction form
    392.41/541.65 = 226.74/x
  3. Step 3: Cross multiply
    392.41x = 541.65 × 226.74
  4. Step 4: Simplify right side
    392.41x = 122,813.72
  5. Step 5: Solve for x
    x = 122,813.72/392.41
  6. Step 6: Final answer
    x = 312.97

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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.