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Finding the Fourth Proportional to 696.50, 961.13 and 413.10

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Solution

The fourth proportional to 696.50, 961.13 and 413.10 is: 570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.50 : 961.13 = 413.10 : x
  2. Step 2: Convert to fraction form
    696.50/961.13 = 413.10/x
  3. Step 3: Cross multiply
    696.50x = 961.13 × 413.10
  4. Step 4: Simplify right side
    696.50x = 397,038.00
  5. Step 5: Solve for x
    x = 397,038.00/696.50
  6. Step 6: Final answer
    x = 570.05

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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.