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Finding the Fourth Proportional to 413.10, 618.84 and 169.56

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Solution

The fourth proportional to 413.10, 618.84 and 169.56 is: 254.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.10 : 618.84 = 169.56 : x
  2. Step 2: Convert to fraction form
    413.10/618.84 = 169.56/x
  3. Step 3: Cross multiply
    413.10x = 618.84 × 169.56
  4. Step 4: Simplify right side
    413.10x = 104,930.51
  5. Step 5: Solve for x
    x = 104,930.51/413.10
  6. Step 6: Final answer
    x = 254.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.