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Finding the Fourth Proportional to 413.10, 618.03 and 276.21

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Solution

The fourth proportional to 413.10, 618.03 and 276.21 is: 413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.10 : 618.03 = 276.21 : x
  2. Step 2: Convert to fraction form
    413.10/618.03 = 276.21/x
  3. Step 3: Cross multiply
    413.10x = 618.03 × 276.21
  4. Step 4: Simplify right side
    413.10x = 170,706.07
  5. Step 5: Solve for x
    x = 170,706.07/413.10
  6. Step 6: Final answer
    x = 413.23

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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.