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Finding the Fourth Proportional to 645.57, 967.09 and 413.96

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Solution

The fourth proportional to 645.57, 967.09 and 413.96 is: 620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.57 : 967.09 = 413.96 : x
  2. Step 2: Convert to fraction form
    645.57/967.09 = 413.96/x
  3. Step 3: Cross multiply
    645.57x = 967.09 × 413.96
  4. Step 4: Simplify right side
    645.57x = 400,336.92
  5. Step 5: Solve for x
    x = 400,336.92/645.57
  6. Step 6: Final answer
    x = 620.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.