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Finding the Fourth Proportional to 299.28, 413.10 and 205.98

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Solution

The fourth proportional to 299.28, 413.10 and 205.98 is: 284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.28 : 413.10 = 205.98 : x
  2. Step 2: Convert to fraction form
    299.28/413.10 = 205.98/x
  3. Step 3: Cross multiply
    299.28x = 413.10 × 205.98
  4. Step 4: Simplify right side
    299.28x = 85,090.34
  5. Step 5: Solve for x
    x = 85,090.34/299.28
  6. Step 6: Final answer
    x = 284.32

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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.