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Finding the Fourth Proportional to 392.53, 541.73 and 226.79

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Solution

The fourth proportional to 392.53, 541.73 and 226.79 is: 312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.53 : 541.73 = 226.79 : x
  2. Step 2: Convert to fraction form
    392.53/541.73 = 226.79/x
  3. Step 3: Cross multiply
    392.53x = 541.73 × 226.79
  4. Step 4: Simplify right side
    392.53x = 122,856.81
  5. Step 5: Solve for x
    x = 122,856.81/392.53
  6. Step 6: Final answer
    x = 312.99

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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.