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Finding the Fourth Proportional to 392.59, 541.78 and 226.82

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Solution

The fourth proportional to 392.59, 541.78 and 226.82 is: 313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.59 : 541.78 = 226.82 : x
  2. Step 2: Convert to fraction form
    392.59/541.78 = 226.82/x
  3. Step 3: Cross multiply
    392.59x = 541.78 × 226.82
  4. Step 4: Simplify right side
    392.59x = 122,883.26
  5. Step 5: Solve for x
    x = 122,883.26/392.59
  6. Step 6: Final answer
    x = 313.01

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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.