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Finding the Fourth Proportional to 399.97, 552.10 and 301.96

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Solution

The fourth proportional to 399.97, 552.10 and 301.96 is: 416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.97 : 552.10 = 301.96 : x
  2. Step 2: Convert to fraction form
    399.97/552.10 = 301.96/x
  3. Step 3: Cross multiply
    399.97x = 552.10 × 301.96
  4. Step 4: Simplify right side
    399.97x = 166,709.36
  5. Step 5: Solve for x
    x = 166,709.36/399.97
  6. Step 6: Final answer
    x = 416.81

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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.