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Finding the Fourth Proportional to 399.97, 600.01 and 269.93

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Solution

The fourth proportional to 399.97, 600.01 and 269.93 is: 404.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.97 : 600.01 = 269.93 : x
  2. Step 2: Convert to fraction form
    399.97/600.01 = 269.93/x
  3. Step 3: Cross multiply
    399.97x = 600.01 × 269.93
  4. Step 4: Simplify right side
    399.97x = 161,961.52
  5. Step 5: Solve for x
    x = 161,961.52/399.97
  6. Step 6: Final answer
    x = 404.93

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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.