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Finding the Fourth Proportional to 413.28, 570.33 and 226.77

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Solution

The fourth proportional to 413.28, 570.33 and 226.77 is: 312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.28 : 570.33 = 226.77 : x
  2. Step 2: Convert to fraction form
    413.28/570.33 = 226.77/x
  3. Step 3: Cross multiply
    413.28x = 570.33 × 226.77
  4. Step 4: Simplify right side
    413.28x = 129,333.73
  5. Step 5: Solve for x
    x = 129,333.73/413.28
  6. Step 6: Final answer
    x = 312.94

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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.