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Finding the Fourth Proportional to 649.87, 896.71 and 413.40

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Solution

The fourth proportional to 649.87, 896.71 and 413.40 is: 570.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.87 : 896.71 = 413.40 : x
  2. Step 2: Convert to fraction form
    649.87/896.71 = 413.40/x
  3. Step 3: Cross multiply
    649.87x = 896.71 × 413.40
  4. Step 4: Simplify right side
    649.87x = 370,702.44
  5. Step 5: Solve for x
    x = 370,702.44/649.87
  6. Step 6: Final answer
    x = 570.42

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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.