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Finding the Fourth Proportional to 696.44, 961.10 and 397.66

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Solution

The fourth proportional to 696.44, 961.10 and 397.66 is: 548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.44 : 961.10 = 397.66 : x
  2. Step 2: Convert to fraction form
    696.44/961.10 = 397.66/x
  3. Step 3: Cross multiply
    696.44x = 961.10 × 397.66
  4. Step 4: Simplify right side
    696.44x = 382,191.03
  5. Step 5: Solve for x
    x = 382,191.03/696.44
  6. Step 6: Final answer
    x = 548.78

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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.