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Finding the Fourth Proportional to 413.24, 570.26 and 226.73

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Solution

The fourth proportional to 413.24, 570.26 and 226.73 is: 312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.24 : 570.26 = 226.73 : x
  2. Step 2: Convert to fraction form
    413.24/570.26 = 226.73/x
  3. Step 3: Cross multiply
    413.24x = 570.26 × 226.73
  4. Step 4: Simplify right side
    413.24x = 129,295.05
  5. Step 5: Solve for x
    x = 129,295.05/413.24
  6. Step 6: Final answer
    x = 312.88

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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.