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Finding the Fourth Proportional to 401.26, 553.75 and 226.60

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Solution

The fourth proportional to 401.26, 553.75 and 226.60 is: 312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.26 : 553.75 = 226.60 : x
  2. Step 2: Convert to fraction form
    401.26/553.75 = 226.60/x
  3. Step 3: Cross multiply
    401.26x = 553.75 × 226.60
  4. Step 4: Simplify right side
    401.26x = 125,478.65
  5. Step 5: Solve for x
    x = 125,478.65/401.26
  6. Step 6: Final answer
    x = 312.71

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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.