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Finding the Fourth Proportional to 413.87, 620.26 and 218.83

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Solution

The fourth proportional to 413.87, 620.26 and 218.83 is: 327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.87 : 620.26 = 218.83 : x
  2. Step 2: Convert to fraction form
    413.87/620.26 = 218.83/x
  3. Step 3: Cross multiply
    413.87x = 620.26 × 218.83
  4. Step 4: Simplify right side
    413.87x = 135,727.30
  5. Step 5: Solve for x
    x = 135,727.30/413.87
  6. Step 6: Final answer
    x = 327.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.