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Finding the Fourth Proportional to 413.12, 620 and 196.76

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Solution

The fourth proportional to 413.12, 620 and 196.76 is: 295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.12 : 620 = 196.76 : x
  2. Step 2: Convert to fraction form
    413.12/620 = 196.76/x
  3. Step 3: Cross multiply
    413.12x = 620 × 196.76
  4. Step 4: Simplify right side
    413.12x = 121,991.20
  5. Step 5: Solve for x
    x = 121,991.20/413.12
  6. Step 6: Final answer
    x = 295.29

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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.