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Finding the Fourth Proportional to 617.17, 851.43 and 396.07

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Solution

The fourth proportional to 617.17, 851.43 and 396.07 is: 546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.17 : 851.43 = 396.07 : x
  2. Step 2: Convert to fraction form
    617.17/851.43 = 396.07/x
  3. Step 3: Cross multiply
    617.17x = 851.43 × 396.07
  4. Step 4: Simplify right side
    617.17x = 337,225.88
  5. Step 5: Solve for x
    x = 337,225.88/617.17
  6. Step 6: Final answer
    x = 546.41

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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.