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Finding the Fourth Proportional to 698.70, 963.47 and 449.82

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Solution

The fourth proportional to 698.70, 963.47 and 449.82 is: 620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.70 : 963.47 = 449.82 : x
  2. Step 2: Convert to fraction form
    698.70/963.47 = 449.82/x
  3. Step 3: Cross multiply
    698.70x = 963.47 × 449.82
  4. Step 4: Simplify right side
    698.70x = 433,388.08
  5. Step 5: Solve for x
    x = 433,388.08/698.70
  6. Step 6: Final answer
    x = 620.28

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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.