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Finding the Fourth Proportional to 698.25, 963.67 and 403.52

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Solution

The fourth proportional to 698.25, 963.67 and 403.52 is: 556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.25 : 963.67 = 403.52 : x
  2. Step 2: Convert to fraction form
    698.25/963.67 = 403.52/x
  3. Step 3: Cross multiply
    698.25x = 963.67 × 403.52
  4. Step 4: Simplify right side
    698.25x = 388,860.12
  5. Step 5: Solve for x
    x = 388,860.12/698.25
  6. Step 6: Final answer
    x = 556.91

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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.