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Finding the Fourth Proportional to 617.68, 851.94 and 396.16

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Solution

The fourth proportional to 617.68, 851.94 and 396.16 is: 546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.68 : 851.94 = 396.16 : x
  2. Step 2: Convert to fraction form
    617.68/851.94 = 396.16/x
  3. Step 3: Cross multiply
    617.68x = 851.94 × 396.16
  4. Step 4: Simplify right side
    617.68x = 337,504.55
  5. Step 5: Solve for x
    x = 337,504.55/617.68
  6. Step 6: Final answer
    x = 546.41

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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.