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Finding the Fourth Proportional to 413.40, 619.82 and 197

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Solution

The fourth proportional to 413.40, 619.82 and 197 is: 295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.40 : 619.82 = 197 : x
  2. Step 2: Convert to fraction form
    413.40/619.82 = 197/x
  3. Step 3: Cross multiply
    413.40x = 619.82 × 197
  4. Step 4: Simplify right side
    413.40x = 122,104.54
  5. Step 5: Solve for x
    x = 122,104.54/413.40
  6. Step 6: Final answer
    x = 295.37

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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.