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Finding the Fourth Proportional to 413.73, 620.19 and 197.34

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Solution

The fourth proportional to 413.73, 620.19 and 197.34 is: 295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.73 : 620.19 = 197.34 : x
  2. Step 2: Convert to fraction form
    413.73/620.19 = 197.34/x
  3. Step 3: Cross multiply
    413.73x = 620.19 × 197.34
  4. Step 4: Simplify right side
    413.73x = 122,388.29
  5. Step 5: Solve for x
    x = 122,388.29/413.73
  6. Step 6: Final answer
    x = 295.82

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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.