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Finding the Fourth Proportional to 413.84, 620.78 and 105.70

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Solution

The fourth proportional to 413.84, 620.78 and 105.70 is: 158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.84 : 620.78 = 105.70 : x
  2. Step 2: Convert to fraction form
    413.84/620.78 = 105.70/x
  3. Step 3: Cross multiply
    413.84x = 620.78 × 105.70
  4. Step 4: Simplify right side
    413.84x = 65,616.12
  5. Step 5: Solve for x
    x = 65,616.12/413.84
  6. Step 6: Final answer
    x = 158.55

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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.