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Finding the Fourth Proportional to 696.98, 961.82 and 382.23

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Solution

The fourth proportional to 696.98, 961.82 and 382.23 is: 527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.98 : 961.82 = 382.23 : x
  2. Step 2: Convert to fraction form
    696.98/961.82 = 382.23/x
  3. Step 3: Cross multiply
    696.98x = 961.82 × 382.23
  4. Step 4: Simplify right side
    696.98x = 367,637.41
  5. Step 5: Solve for x
    x = 367,637.41/696.98
  6. Step 6: Final answer
    x = 527.48

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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.