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Finding the Fourth Proportional to 392.40, 541.63 and 226.73

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Solution

The fourth proportional to 392.40, 541.63 and 226.73 is: 312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.40 : 541.63 = 226.73 : x
  2. Step 2: Convert to fraction form
    392.40/541.63 = 226.73/x
  3. Step 3: Cross multiply
    392.40x = 541.63 × 226.73
  4. Step 4: Simplify right side
    392.40x = 122,803.77
  5. Step 5: Solve for x
    x = 122,803.77/392.40
  6. Step 6: Final answer
    x = 312.96

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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.