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Finding the Fourth Proportional to 617.27, 850.84 and 418.04

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Solution

The fourth proportional to 617.27, 850.84 and 418.04 is: 576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.27 : 850.84 = 418.04 : x
  2. Step 2: Convert to fraction form
    617.27/850.84 = 418.04/x
  3. Step 3: Cross multiply
    617.27x = 850.84 × 418.04
  4. Step 4: Simplify right side
    617.27x = 355,679.85
  5. Step 5: Solve for x
    x = 355,679.85/617.27
  6. Step 6: Final answer
    x = 576.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.