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Finding the Fourth Proportional to 299.12, 413.16 and 271.40

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Solution

The fourth proportional to 299.12, 413.16 and 271.40 is: 374.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.12 : 413.16 = 271.40 : x
  2. Step 2: Convert to fraction form
    299.12/413.16 = 271.40/x
  3. Step 3: Cross multiply
    299.12x = 413.16 × 271.40
  4. Step 4: Simplify right side
    299.12x = 112,131.62
  5. Step 5: Solve for x
    x = 112,131.62/299.12
  6. Step 6: Final answer
    x = 374.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.