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Finding the Fourth Proportional to 698.69, 963.73 and 449.62

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Solution

The fourth proportional to 698.69, 963.73 and 449.62 is: 620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.69 : 963.73 = 449.62 : x
  2. Step 2: Convert to fraction form
    698.69/963.73 = 449.62/x
  3. Step 3: Cross multiply
    698.69x = 963.73 × 449.62
  4. Step 4: Simplify right side
    698.69x = 433,312.28
  5. Step 5: Solve for x
    x = 433,312.28/698.69
  6. Step 6: Final answer
    x = 620.18

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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.