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Finding the Fourth Proportional to 414.16, 571.54 and 227.64

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Solution

The fourth proportional to 414.16, 571.54 and 227.64 is: 314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.16 : 571.54 = 227.64 : x
  2. Step 2: Convert to fraction form
    414.16/571.54 = 227.64/x
  3. Step 3: Cross multiply
    414.16x = 571.54 × 227.64
  4. Step 4: Simplify right side
    414.16x = 130,105.37
  5. Step 5: Solve for x
    x = 130,105.37/414.16
  6. Step 6: Final answer
    x = 314.14

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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.