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Finding the Fourth Proportional to 698.12, 963.50 and 403.33

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Solution

The fourth proportional to 698.12, 963.50 and 403.33 is: 556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.12 : 963.50 = 403.33 : x
  2. Step 2: Convert to fraction form
    698.12/963.50 = 403.33/x
  3. Step 3: Cross multiply
    698.12x = 963.50 × 403.33
  4. Step 4: Simplify right side
    698.12x = 388,605.84
  5. Step 5: Solve for x
    x = 388,605.84/698.12
  6. Step 6: Final answer
    x = 556.65

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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.