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Finding the Fourth Proportional to 417.57, 626.46 and 174.38

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Solution

The fourth proportional to 417.57, 626.46 and 174.38 is: 261.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.57 : 626.46 = 174.38 : x
  2. Step 2: Convert to fraction form
    417.57/626.46 = 174.38/x
  3. Step 3: Cross multiply
    417.57x = 626.46 × 174.38
  4. Step 4: Simplify right side
    417.57x = 109,238.96
  5. Step 5: Solve for x
    x = 109,238.96/417.57
  6. Step 6: Final answer
    x = 261.61

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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.