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Finding the Fourth Proportional to 413.82, 620.42 and 197.36

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Solution

The fourth proportional to 413.82, 620.42 and 197.36 is: 295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.82 : 620.42 = 197.36 : x
  2. Step 2: Convert to fraction form
    413.82/620.42 = 197.36/x
  3. Step 3: Cross multiply
    413.82x = 620.42 × 197.36
  4. Step 4: Simplify right side
    413.82x = 122,442.00
  5. Step 5: Solve for x
    x = 122,442.00/413.82
  6. Step 6: Final answer
    x = 295.88

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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.