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Finding the Fourth Proportional to 696.60, 961.43 and 447.98

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Solution

The fourth proportional to 696.60, 961.43 and 447.98 is: 618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.60 : 961.43 = 447.98 : x
  2. Step 2: Convert to fraction form
    696.60/961.43 = 447.98/x
  3. Step 3: Cross multiply
    696.60x = 961.43 × 447.98
  4. Step 4: Simplify right side
    696.60x = 430,694.36
  5. Step 5: Solve for x
    x = 430,694.36/696.60
  6. Step 6: Final answer
    x = 618.28

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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.