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Finding the Fourth Proportional to 698.21, 963.49 and 403.46

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Solution

The fourth proportional to 698.21, 963.49 and 403.46 is: 556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.21 : 963.49 = 403.46 : x
  2. Step 2: Convert to fraction form
    698.21/963.49 = 403.46/x
  3. Step 3: Cross multiply
    698.21x = 963.49 × 403.46
  4. Step 4: Simplify right side
    698.21x = 388,729.68
  5. Step 5: Solve for x
    x = 388,729.68/698.21
  6. Step 6: Final answer
    x = 556.75

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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.