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Finding the Fourth Proportional to 413.76, 620.16 and 197.76

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Solution

The fourth proportional to 413.76, 620.16 and 197.76 is: 296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.76 : 620.16 = 197.76 : x
  2. Step 2: Convert to fraction form
    413.76/620.16 = 197.76/x
  3. Step 3: Cross multiply
    413.76x = 620.16 × 197.76
  4. Step 4: Simplify right side
    413.76x = 122,642.84
  5. Step 5: Solve for x
    x = 122,642.84/413.76
  6. Step 6: Final answer
    x = 296.41

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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.