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Finding the Fourth Proportional to 413.78, 620.67 and 197.24

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Solution

The fourth proportional to 413.78, 620.67 and 197.24 is: 295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.78 : 620.67 = 197.24 : x
  2. Step 2: Convert to fraction form
    413.78/620.67 = 197.24/x
  3. Step 3: Cross multiply
    413.78x = 620.67 × 197.24
  4. Step 4: Simplify right side
    413.78x = 122,420.95
  5. Step 5: Solve for x
    x = 122,420.95/413.78
  6. Step 6: Final answer
    x = 295.86

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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.