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Finding the Fourth Proportional to 696.43, 961.03 and 381.64

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Solution

The fourth proportional to 696.43, 961.03 and 381.64 is: 526.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.43 : 961.03 = 381.64 : x
  2. Step 2: Convert to fraction form
    696.43/961.03 = 381.64/x
  3. Step 3: Cross multiply
    696.43x = 961.03 × 381.64
  4. Step 4: Simplify right side
    696.43x = 366,761.73
  5. Step 5: Solve for x
    x = 366,761.73/696.43
  6. Step 6: Final answer
    x = 526.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.