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Finding the Fourth Proportional to 401.28, 553.78 and 226.66

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Solution

The fourth proportional to 401.28, 553.78 and 226.66 is: 312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.28 : 553.78 = 226.66 : x
  2. Step 2: Convert to fraction form
    401.28/553.78 = 226.66/x
  3. Step 3: Cross multiply
    401.28x = 553.78 × 226.66
  4. Step 4: Simplify right side
    401.28x = 125,519.77
  5. Step 5: Solve for x
    x = 125,519.77/401.28
  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.