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Finding the Fourth Proportional to 413.66, 620.51 and 105.52

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Solution

The fourth proportional to 413.66, 620.51 and 105.52 is: 158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.66 : 620.51 = 105.52 : x
  2. Step 2: Convert to fraction form
    413.66/620.51 = 105.52/x
  3. Step 3: Cross multiply
    413.66x = 620.51 × 105.52
  4. Step 4: Simplify right side
    413.66x = 65,473.11
  5. Step 5: Solve for x
    x = 65,473.11/413.66
  6. Step 6: Final answer
    x = 158.28

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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.