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Finding the Fourth Proportional to 617.69, 851.58 and 396.26

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Solution

The fourth proportional to 617.69, 851.58 and 396.26 is: 546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.69 : 851.58 = 396.26 : x
  2. Step 2: Convert to fraction form
    617.69/851.58 = 396.26/x
  3. Step 3: Cross multiply
    617.69x = 851.58 × 396.26
  4. Step 4: Simplify right side
    617.69x = 337,446.77
  5. Step 5: Solve for x
    x = 337,446.77/617.69
  6. Step 6: Final answer
    x = 546.30

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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.