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Finding the Fourth Proportional to 392.54, 541.74 and 226.79

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Solution

The fourth proportional to 392.54, 541.74 and 226.79 is: 312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.54 : 541.74 = 226.79 : x
  2. Step 2: Convert to fraction form
    392.54/541.74 = 226.79/x
  3. Step 3: Cross multiply
    392.54x = 541.74 × 226.79
  4. Step 4: Simplify right side
    392.54x = 122,858.51
  5. Step 5: Solve for x
    x = 122,858.51/392.54
  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.