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Finding the Fourth Proportional to 617.17, 851.35 and 395.87

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Solution

The fourth proportional to 617.17, 851.35 and 395.87 is: 546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.17 : 851.35 = 395.87 : x
  2. Step 2: Convert to fraction form
    617.17/851.35 = 395.87/x
  3. Step 3: Cross multiply
    617.17x = 851.35 × 395.87
  4. Step 4: Simplify right side
    617.17x = 337,023.92
  5. Step 5: Solve for x
    x = 337,023.92/617.17
  6. Step 6: Final answer
    x = 546.08

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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.