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Finding the Fourth Proportional to 413.39, 620.09 and 120.91

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Solution

The fourth proportional to 413.39, 620.09 and 120.91 is: 181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.39 : 620.09 = 120.91 : x
  2. Step 2: Convert to fraction form
    413.39/620.09 = 120.91/x
  3. Step 3: Cross multiply
    413.39x = 620.09 × 120.91
  4. Step 4: Simplify right side
    413.39x = 74,974.54
  5. Step 5: Solve for x
    x = 74,974.54/413.39
  6. Step 6: Final answer
    x = 181.37

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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.