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Finding the Fourth Proportional to 413.54, 620.31 and 197.07

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Solution

The fourth proportional to 413.54, 620.31 and 197.07 is: 295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.54 : 620.31 = 197.07 : x
  2. Step 2: Convert to fraction form
    413.54/620.31 = 197.07/x
  3. Step 3: Cross multiply
    413.54x = 620.31 × 197.07
  4. Step 4: Simplify right side
    413.54x = 122,244.49
  5. Step 5: Solve for x
    x = 122,244.49/413.54
  6. Step 6: Final answer
    x = 295.61

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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.