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Finding the Fourth Proportional to 401.33, 601.36 and 227.78

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Solution

The fourth proportional to 401.33, 601.36 and 227.78 is: 341.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.33 : 601.36 = 227.78 : x
  2. Step 2: Convert to fraction form
    401.33/601.36 = 227.78/x
  3. Step 3: Cross multiply
    401.33x = 601.36 × 227.78
  4. Step 4: Simplify right side
    401.33x = 136,977.78
  5. Step 5: Solve for x
    x = 136,977.78/401.33
  6. Step 6: Final answer
    x = 341.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.