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Finding the Fourth Proportional to 413.88, 571.14 and 227.37

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Solution

The fourth proportional to 413.88, 571.14 and 227.37 is: 313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.88 : 571.14 = 227.37 : x
  2. Step 2: Convert to fraction form
    413.88/571.14 = 227.37/x
  3. Step 3: Cross multiply
    413.88x = 571.14 × 227.37
  4. Step 4: Simplify right side
    413.88x = 129,857.25
  5. Step 5: Solve for x
    x = 129,857.25/413.88
  6. Step 6: Final answer
    x = 313.76

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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.