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Finding the Fourth Proportional to 413.82, 620.37 and 170.10

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Solution

The fourth proportional to 413.82, 620.37 and 170.10 is: 255.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.82 : 620.37 = 170.10 : x
  2. Step 2: Convert to fraction form
    413.82/620.37 = 170.10/x
  3. Step 3: Cross multiply
    413.82x = 620.37 × 170.10
  4. Step 4: Simplify right side
    413.82x = 105,524.94
  5. Step 5: Solve for x
    x = 105,524.94/413.82
  6. Step 6: Final answer
    x = 255.00

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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.