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Finding the Fourth Proportional to 696.69, 961.43 and 413.12

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Solution

The fourth proportional to 696.69, 961.43 and 413.12 is: 570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.69 : 961.43 = 413.12 : x
  2. Step 2: Convert to fraction form
    696.69/961.43 = 413.12/x
  3. Step 3: Cross multiply
    696.69x = 961.43 × 413.12
  4. Step 4: Simplify right side
    696.69x = 397,179.09
  5. Step 5: Solve for x
    x = 397,179.09/696.69
  6. Step 6: Final answer
    x = 570.09

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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.