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Finding the Fourth Proportional to 392.41, 541.54 and 226.67

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Solution

The fourth proportional to 392.41, 541.54 and 226.67 is: 312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.41 : 541.54 = 226.67 : x
  2. Step 2: Convert to fraction form
    392.41/541.54 = 226.67/x
  3. Step 3: Cross multiply
    392.41x = 541.54 × 226.67
  4. Step 4: Simplify right side
    392.41x = 122,751.66
  5. Step 5: Solve for x
    x = 122,751.66/392.41
  6. Step 6: Final answer
    x = 312.82

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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.