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Finding the Fourth Proportional to 413.51, 620.46 and 170.24

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Solution

The fourth proportional to 413.51, 620.46 and 170.24 is: 255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.51 : 620.46 = 170.24 : x
  2. Step 2: Convert to fraction form
    413.51/620.46 = 170.24/x
  3. Step 3: Cross multiply
    413.51x = 620.46 × 170.24
  4. Step 4: Simplify right side
    413.51x = 105,624.01
  5. Step 5: Solve for x
    x = 105,624.01/413.51
  6. Step 6: Final answer
    x = 255.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.