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Finding the Fourth Proportional to 489.87, 734.94 and 413.66

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Solution

The fourth proportional to 489.87, 734.94 and 413.66 is: 620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.87 : 734.94 = 413.66 : x
  2. Step 2: Convert to fraction form
    489.87/734.94 = 413.66/x
  3. Step 3: Cross multiply
    489.87x = 734.94 × 413.66
  4. Step 4: Simplify right side
    489.87x = 304,017.12
  5. Step 5: Solve for x
    x = 304,017.12/489.87
  6. Step 6: Final answer
    x = 620.61

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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.