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Finding the Fourth Proportional to 697.08, 961.92 and 382.36

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Solution

The fourth proportional to 697.08, 961.92 and 382.36 is: 527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.08 : 961.92 = 382.36 : x
  2. Step 2: Convert to fraction form
    697.08/961.92 = 382.36/x
  3. Step 3: Cross multiply
    697.08x = 961.92 × 382.36
  4. Step 4: Simplify right side
    697.08x = 367,799.73
  5. Step 5: Solve for x
    x = 367,799.73/697.08
  6. Step 6: Final answer
    x = 527.63

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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.