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Finding the Fourth Proportional to 617.46, 851.54 and 396.33

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Solution

The fourth proportional to 617.46, 851.54 and 396.33 is: 546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.46 : 851.54 = 396.33 : x
  2. Step 2: Convert to fraction form
    617.46/851.54 = 396.33/x
  3. Step 3: Cross multiply
    617.46x = 851.54 × 396.33
  4. Step 4: Simplify right side
    617.46x = 337,490.85
  5. Step 5: Solve for x
    x = 337,490.85/617.46
  6. Step 6: Final answer
    x = 546.58

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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.