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Finding the Fourth Proportional to 414.51, 571.93 and 227.98

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Solution

The fourth proportional to 414.51, 571.93 and 227.98 is: 314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.51 : 571.93 = 227.98 : x
  2. Step 2: Convert to fraction form
    414.51/571.93 = 227.98/x
  3. Step 3: Cross multiply
    414.51x = 571.93 × 227.98
  4. Step 4: Simplify right side
    414.51x = 130,388.60
  5. Step 5: Solve for x
    x = 130,388.60/414.51
  6. Step 6: Final answer
    x = 314.56

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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.