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Finding the Fourth Proportional to 399.42, 550.73 and 299.96

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Solution

The fourth proportional to 399.42, 550.73 and 299.96 is: 413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.42 : 550.73 = 299.96 : x
  2. Step 2: Convert to fraction form
    399.42/550.73 = 299.96/x
  3. Step 3: Cross multiply
    399.42x = 550.73 × 299.96
  4. Step 4: Simplify right side
    399.42x = 165,196.97
  5. Step 5: Solve for x
    x = 165,196.97/399.42
  6. Step 6: Final answer
    x = 413.59

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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.