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Finding the Fourth Proportional to 413.73, 620.26 and 194.25

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Solution

The fourth proportional to 413.73, 620.26 and 194.25 is: 291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.73 : 620.26 = 194.25 : x
  2. Step 2: Convert to fraction form
    413.73/620.26 = 194.25/x
  3. Step 3: Cross multiply
    413.73x = 620.26 × 194.25
  4. Step 4: Simplify right side
    413.73x = 120,485.51
  5. Step 5: Solve for x
    x = 120,485.51/413.73
  6. Step 6: Final answer
    x = 291.22

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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.