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Finding the Fourth Proportional to 414.32, 571.77 and 227.81

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Solution

The fourth proportional to 414.32, 571.77 and 227.81 is: 314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.32 : 571.77 = 227.81 : x
  2. Step 2: Convert to fraction form
    414.32/571.77 = 227.81/x
  3. Step 3: Cross multiply
    414.32x = 571.77 × 227.81
  4. Step 4: Simplify right side
    414.32x = 130,254.35
  5. Step 5: Solve for x
    x = 130,254.35/414.32
  6. Step 6: Final answer
    x = 314.38

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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.