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Finding the Fourth Proportional to 617.14, 851.56 and 396.12

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Solution

The fourth proportional to 617.14, 851.56 and 396.12 is: 546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.14 : 851.56 = 396.12 : x
  2. Step 2: Convert to fraction form
    617.14/851.56 = 396.12/x
  3. Step 3: Cross multiply
    617.14x = 851.56 × 396.12
  4. Step 4: Simplify right side
    617.14x = 337,319.95
  5. Step 5: Solve for x
    x = 337,319.95/617.14
  6. Step 6: Final answer
    x = 546.59

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Why These Related Problems?

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