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Finding the Fourth Proportional to 392.62, 541.84 and 226.86

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Solution

The fourth proportional to 392.62, 541.84 and 226.86 is: 313.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.62 : 541.84 = 226.86 : x
  2. Step 2: Convert to fraction form
    392.62/541.84 = 226.86/x
  3. Step 3: Cross multiply
    392.62x = 541.84 × 226.86
  4. Step 4: Simplify right side
    392.62x = 122,919.11
  5. Step 5: Solve for x
    x = 122,919.11/392.62
  6. Step 6: Final answer
    x = 313.07

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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.