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Finding the Fourth Proportional to 413.86, 571.13 and 227.37

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Solution

The fourth proportional to 413.86, 571.13 and 227.37 is: 313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.86 : 571.13 = 227.37 : x
  2. Step 2: Convert to fraction form
    413.86/571.13 = 227.37/x
  3. Step 3: Cross multiply
    413.86x = 571.13 × 227.37
  4. Step 4: Simplify right side
    413.86x = 129,856.97
  5. Step 5: Solve for x
    x = 129,856.97/413.86
  6. Step 6: Final answer
    x = 313.77

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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.