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Finding the Fourth Proportional to 413.60, 620.14 and 197.24

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Solution

The fourth proportional to 413.60, 620.14 and 197.24 is: 295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.60 : 620.14 = 197.24 : x
  2. Step 2: Convert to fraction form
    413.60/620.14 = 197.24/x
  3. Step 3: Cross multiply
    413.60x = 620.14 × 197.24
  4. Step 4: Simplify right side
    413.60x = 122,316.41
  5. Step 5: Solve for x
    x = 122,316.41/413.60
  6. Step 6: Final answer
    x = 295.74

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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.