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Finding the Fourth Proportional to 413.93, 571.23 and 227.43

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Solution

The fourth proportional to 413.93, 571.23 and 227.43 is: 313.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.93 : 571.23 = 227.43 : x
  2. Step 2: Convert to fraction form
    413.93/571.23 = 227.43/x
  3. Step 3: Cross multiply
    413.93x = 571.23 × 227.43
  4. Step 4: Simplify right side
    413.93x = 129,914.84
  5. Step 5: Solve for x
    x = 129,914.84/413.93
  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.