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Finding the Fourth Proportional to 694.57, 958.49 and 379.83

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Solution

The fourth proportional to 694.57, 958.49 and 379.83 is: 524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.57 : 958.49 = 379.83 : x
  2. Step 2: Convert to fraction form
    694.57/958.49 = 379.83/x
  3. Step 3: Cross multiply
    694.57x = 958.49 × 379.83
  4. Step 4: Simplify right side
    694.57x = 364,063.26
  5. Step 5: Solve for x
    x = 364,063.26/694.57
  6. Step 6: Final answer
    x = 524.16

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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.