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Finding the Fourth Proportional to 413.94, 571.25 and 227.44

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Solution

The fourth proportional to 413.94, 571.25 and 227.44 is: 313.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.94 : 571.25 = 227.44 : x
  2. Step 2: Convert to fraction form
    413.94/571.25 = 227.44/x
  3. Step 3: Cross multiply
    413.94x = 571.25 × 227.44
  4. Step 4: Simplify right side
    413.94x = 129,921.46
  5. Step 5: Solve for x
    x = 129,921.46/413.94
  6. Step 6: Final answer
    x = 313.86

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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.