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Finding the Fourth Proportional to 413.90, 571.15 and 227.35

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Solution

The fourth proportional to 413.90, 571.15 and 227.35 is: 313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.90 : 571.15 = 227.35 : x
  2. Step 2: Convert to fraction form
    413.90/571.15 = 227.35/x
  3. Step 3: Cross multiply
    413.90x = 571.15 × 227.35
  4. Step 4: Simplify right side
    413.90x = 129,850.95
  5. Step 5: Solve for x
    x = 129,850.95/413.90
  6. Step 6: Final answer
    x = 313.73

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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.