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Finding the Fourth Proportional to 413.08, 618.90 and 382.84

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Solution

The fourth proportional to 413.08, 618.90 and 382.84 is: 573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.08 : 618.90 = 382.84 : x
  2. Step 2: Convert to fraction form
    413.08/618.90 = 382.84/x
  3. Step 3: Cross multiply
    413.08x = 618.90 × 382.84
  4. Step 4: Simplify right side
    413.08x = 236,939.68
  5. Step 5: Solve for x
    x = 236,939.68/413.08
  6. Step 6: Final answer
    x = 573.59

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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.