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Finding the Fourth Proportional to 394.06, 590.99 and 163.01

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Solution

The fourth proportional to 394.06, 590.99 and 163.01 is: 244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.06 : 590.99 = 163.01 : x
  2. Step 2: Convert to fraction form
    394.06/590.99 = 163.01/x
  3. Step 3: Cross multiply
    394.06x = 590.99 × 163.01
  4. Step 4: Simplify right side
    394.06x = 96,337.94
  5. Step 5: Solve for x
    x = 96,337.94/394.06
  6. Step 6: Final answer
    x = 244.48

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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.