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Finding the Fourth Proportional to 413.16, 619.80 and 196.66

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Solution

The fourth proportional to 413.16, 619.80 and 196.66 is: 295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.16 : 619.80 = 196.66 : x
  2. Step 2: Convert to fraction form
    413.16/619.80 = 196.66/x
  3. Step 3: Cross multiply
    413.16x = 619.80 × 196.66
  4. Step 4: Simplify right side
    413.16x = 121,889.87
  5. Step 5: Solve for x
    x = 121,889.87/413.16
  6. Step 6: Final answer
    x = 295.02

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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.