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Finding the Fourth Proportional to 413.29, 620.02 and 120.79

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Solution

The fourth proportional to 413.29, 620.02 and 120.79 is: 181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.29 : 620.02 = 120.79 : x
  2. Step 2: Convert to fraction form
    413.29/620.02 = 120.79/x
  3. Step 3: Cross multiply
    413.29x = 620.02 × 120.79
  4. Step 4: Simplify right side
    413.29x = 74,892.63
  5. Step 5: Solve for x
    x = 74,892.63/413.29
  6. Step 6: Final answer
    x = 181.21

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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.