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Finding the Fourth Proportional to 413.82, 620.55 and 197.46

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Solution

The fourth proportional to 413.82, 620.55 and 197.46 is: 296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.82 : 620.55 = 197.46 : x
  2. Step 2: Convert to fraction form
    413.82/620.55 = 197.46/x
  3. Step 3: Cross multiply
    413.82x = 620.55 × 197.46
  4. Step 4: Simplify right side
    413.82x = 122,533.80
  5. Step 5: Solve for x
    x = 122,533.80/413.82
  6. Step 6: Final answer
    x = 296.10

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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.