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Finding the Fourth Proportional to 694.38, 958.17 and 399.66

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Solution

The fourth proportional to 694.38, 958.17 and 399.66 is: 551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.38 : 958.17 = 399.66 : x
  2. Step 2: Convert to fraction form
    694.38/958.17 = 399.66/x
  3. Step 3: Cross multiply
    694.38x = 958.17 × 399.66
  4. Step 4: Simplify right side
    694.38x = 382,942.22
  5. Step 5: Solve for x
    x = 382,942.22/694.38
  6. Step 6: Final answer
    x = 551.49

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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.