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Finding the Fourth Proportional to 351.27, 484.56 and 226.76

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Solution

The fourth proportional to 351.27, 484.56 and 226.76 is: 312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.27 : 484.56 = 226.76 : x
  2. Step 2: Convert to fraction form
    351.27/484.56 = 226.76/x
  3. Step 3: Cross multiply
    351.27x = 484.56 × 226.76
  4. Step 4: Simplify right side
    351.27x = 109,876.40
  5. Step 5: Solve for x
    x = 109,876.40/351.27
  6. Step 6: Final answer
    x = 312.80

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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.