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Finding the Fourth Proportional to 413.58, 620.12 and 197.12

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Solution

The fourth proportional to 413.58, 620.12 and 197.12 is: 295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.58 : 620.12 = 197.12 : x
  2. Step 2: Convert to fraction form
    413.58/620.12 = 197.12/x
  3. Step 3: Cross multiply
    413.58x = 620.12 × 197.12
  4. Step 4: Simplify right side
    413.58x = 122,238.05
  5. Step 5: Solve for x
    x = 122,238.05/413.58
  6. Step 6: Final answer
    x = 295.56

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