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Finding the Fourth Proportional to 694.05, 957.75 and 379.31

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Solution

The fourth proportional to 694.05, 957.75 and 379.31 is: 523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.05 : 957.75 = 379.31 : x
  2. Step 2: Convert to fraction form
    694.05/957.75 = 379.31/x
  3. Step 3: Cross multiply
    694.05x = 957.75 × 379.31
  4. Step 4: Simplify right side
    694.05x = 363,279.36
  5. Step 5: Solve for x
    x = 363,279.36/694.05
  6. Step 6: Final answer
    x = 523.42

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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.