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Finding the Fourth Proportional to 299.79, 413.98 and 250.09

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Solution

The fourth proportional to 299.79, 413.98 and 250.09 is: 345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.79 : 413.98 = 250.09 : x
  2. Step 2: Convert to fraction form
    299.79/413.98 = 250.09/x
  3. Step 3: Cross multiply
    299.79x = 413.98 × 250.09
  4. Step 4: Simplify right side
    299.79x = 103,530.60
  5. Step 5: Solve for x
    x = 103,530.60/299.79
  6. Step 6: Final answer
    x = 345.34

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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.