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Finding the Fourth Proportional to 414.14, 571.48 and 227.64

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Solution

The fourth proportional to 414.14, 571.48 and 227.64 is: 314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.14 : 571.48 = 227.64 : x
  2. Step 2: Convert to fraction form
    414.14/571.48 = 227.64/x
  3. Step 3: Cross multiply
    414.14x = 571.48 × 227.64
  4. Step 4: Simplify right side
    414.14x = 130,091.71
  5. Step 5: Solve for x
    x = 130,091.71/414.14
  6. Step 6: Final answer
    x = 314.12

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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.