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Finding the Fourth Proportional to 696.46, 961.11 and 385.96

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Solution

The fourth proportional to 696.46, 961.11 and 385.96 is: 532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.46 : 961.11 = 385.96 : x
  2. Step 2: Convert to fraction form
    696.46/961.11 = 385.96/x
  3. Step 3: Cross multiply
    696.46x = 961.11 × 385.96
  4. Step 4: Simplify right side
    696.46x = 370,950.02
  5. Step 5: Solve for x
    x = 370,950.02/696.46
  6. Step 6: Final answer
    x = 532.62

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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.