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Finding the Fourth Proportional to 698.13, 963.23 and 399.38

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Solution

The fourth proportional to 698.13, 963.23 and 399.38 is: 551.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.13 : 963.23 = 399.38 : x
  2. Step 2: Convert to fraction form
    698.13/963.23 = 399.38/x
  3. Step 3: Cross multiply
    698.13x = 963.23 × 399.38
  4. Step 4: Simplify right side
    698.13x = 384,687.98
  5. Step 5: Solve for x
    x = 384,687.98/698.13
  6. Step 6: Final answer
    x = 551.03

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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.