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Finding the Fourth Proportional to 998.25, 1,496.35 and 413.66

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Solution

The fourth proportional to 998.25, 1,496.35 and 413.66 is: 620.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.25 : 1,496.35 = 413.66 : x
  2. Step 2: Convert to fraction form
    998.25/1,496.35 = 413.66/x
  3. Step 3: Cross multiply
    998.25x = 1,496.35 × 413.66
  4. Step 4: Simplify right side
    998.25x = 618,980.14
  5. Step 5: Solve for x
    x = 618,980.14/998.25
  6. Step 6: Final answer
    x = 620.07

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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.