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Finding the Fourth Proportional to 471.74, 707.39 and 163.61

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Solution

The fourth proportional to 471.74, 707.39 and 163.61 is: 245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.74 : 707.39 = 163.61 : x
  2. Step 2: Convert to fraction form
    471.74/707.39 = 163.61/x
  3. Step 3: Cross multiply
    471.74x = 707.39 × 163.61
  4. Step 4: Simplify right side
    471.74x = 115,737.03
  5. Step 5: Solve for x
    x = 115,737.03/471.74
  6. Step 6: Final answer
    x = 245.34

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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.