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Finding the Fourth Proportional to 414.15, 571.54 and 227.65

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Solution

The fourth proportional to 414.15, 571.54 and 227.65 is: 314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.15 : 571.54 = 227.65 : x
  2. Step 2: Convert to fraction form
    414.15/571.54 = 227.65/x
  3. Step 3: Cross multiply
    414.15x = 571.54 × 227.65
  4. Step 4: Simplify right side
    414.15x = 130,110.74
  5. Step 5: Solve for x
    x = 130,110.74/414.15
  6. Step 6: Final answer
    x = 314.16

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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.