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Finding the Fourth Proportional to 413.98, 620.84 and 140.02

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Solution

The fourth proportional to 413.98, 620.84 and 140.02 is: 209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.98 : 620.84 = 140.02 : x
  2. Step 2: Convert to fraction form
    413.98/620.84 = 140.02/x
  3. Step 3: Cross multiply
    413.98x = 620.84 × 140.02
  4. Step 4: Simplify right side
    413.98x = 86,930.02
  5. Step 5: Solve for x
    x = 86,930.02/413.98
  6. Step 6: Final answer
    x = 209.99

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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.