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Finding the Fourth Proportional to 413.13, 618.18 and 382.45

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Solution

The fourth proportional to 413.13, 618.18 and 382.45 is: 572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.13 : 618.18 = 382.45 : x
  2. Step 2: Convert to fraction form
    413.13/618.18 = 382.45/x
  3. Step 3: Cross multiply
    413.13x = 618.18 × 382.45
  4. Step 4: Simplify right side
    413.13x = 236,422.94
  5. Step 5: Solve for x
    x = 236,422.94/413.13
  6. Step 6: Final answer
    x = 572.27

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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.