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Finding the Fourth Proportional to 413.68, 620.64 and 197.44

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Solution

The fourth proportional to 413.68, 620.64 and 197.44 is: 296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.68 : 620.64 = 197.44 : x
  2. Step 2: Convert to fraction form
    413.68/620.64 = 197.44/x
  3. Step 3: Cross multiply
    413.68x = 620.64 × 197.44
  4. Step 4: Simplify right side
    413.68x = 122,539.16
  5. Step 5: Solve for x
    x = 122,539.16/413.68
  6. Step 6: Final answer
    x = 296.22

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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.