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Finding the Fourth Proportional to 392.35, 541.42 and 226.57

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Solution

The fourth proportional to 392.35, 541.42 and 226.57 is: 312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.35 : 541.42 = 226.57 : x
  2. Step 2: Convert to fraction form
    392.35/541.42 = 226.57/x
  3. Step 3: Cross multiply
    392.35x = 541.42 × 226.57
  4. Step 4: Simplify right side
    392.35x = 122,666.82
  5. Step 5: Solve for x
    x = 122,666.82/392.35
  6. Step 6: Final answer
    x = 312.65

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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.