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Finding the Fourth Proportional to 649.80, 896.39 and 413.62

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Solution

The fourth proportional to 649.80, 896.39 and 413.62 is: 570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.80 : 896.39 = 413.62 : x
  2. Step 2: Convert to fraction form
    649.80/896.39 = 413.62/x
  3. Step 3: Cross multiply
    649.80x = 896.39 × 413.62
  4. Step 4: Simplify right side
    649.80x = 370,760.52
  5. Step 5: Solve for x
    x = 370,760.52/649.80
  6. Step 6: Final answer
    x = 570.58

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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.