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Finding the Fourth Proportional to 696.99, 961.87 and 382.28

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Solution

The fourth proportional to 696.99, 961.87 and 382.28 is: 527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.99 : 961.87 = 382.28 : x
  2. Step 2: Convert to fraction form
    696.99/961.87 = 382.28/x
  3. Step 3: Cross multiply
    696.99x = 961.87 × 382.28
  4. Step 4: Simplify right side
    696.99x = 367,700.25
  5. Step 5: Solve for x
    x = 367,700.25/696.99
  6. Step 6: Final answer
    x = 527.56

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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.