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Finding the Fourth Proportional to 414.22, 571.61 and 227.69

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Solution

The fourth proportional to 414.22, 571.61 and 227.69 is: 314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.22 : 571.61 = 227.69 : x
  2. Step 2: Convert to fraction form
    414.22/571.61 = 227.69/x
  3. Step 3: Cross multiply
    414.22x = 571.61 × 227.69
  4. Step 4: Simplify right side
    414.22x = 130,152.95
  5. Step 5: Solve for x
    x = 130,152.95/414.22
  6. Step 6: Final answer
    x = 314.21

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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.