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Finding the Fourth Proportional to 417.27, 626.09 and 173.96

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Solution

The fourth proportional to 417.27, 626.09 and 173.96 is: 261.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.27 : 626.09 = 173.96 : x
  2. Step 2: Convert to fraction form
    417.27/626.09 = 173.96/x
  3. Step 3: Cross multiply
    417.27x = 626.09 × 173.96
  4. Step 4: Simplify right side
    417.27x = 108,914.62
  5. Step 5: Solve for x
    x = 108,914.62/417.27
  6. Step 6: Final answer
    x = 261.02

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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.