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Finding the Fourth Proportional to 392.49, 541.68 and 226.71

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Solution

The fourth proportional to 392.49, 541.68 and 226.71 is: 312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.49 : 541.68 = 226.71 : x
  2. Step 2: Convert to fraction form
    392.49/541.68 = 226.71/x
  3. Step 3: Cross multiply
    392.49x = 541.68 × 226.71
  4. Step 4: Simplify right side
    392.49x = 122,804.27
  5. Step 5: Solve for x
    x = 122,804.27/392.49
  6. Step 6: Final answer
    x = 312.89

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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.