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Finding the Fourth Proportional to 413.56, 620.32 and 139.84

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Solution

The fourth proportional to 413.56, 620.32 and 139.84 is: 209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.56 : 620.32 = 139.84 : x
  2. Step 2: Convert to fraction form
    413.56/620.32 = 139.84/x
  3. Step 3: Cross multiply
    413.56x = 620.32 × 139.84
  4. Step 4: Simplify right side
    413.56x = 86,745.55
  5. Step 5: Solve for x
    x = 86,745.55/413.56
  6. Step 6: Final answer
    x = 209.75

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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.