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Finding the Fourth Proportional to 617.12, 851.88 and 396.08

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Solution

The fourth proportional to 617.12, 851.88 and 396.08 is: 546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.12 : 851.88 = 396.08 : x
  2. Step 2: Convert to fraction form
    617.12/851.88 = 396.08/x
  3. Step 3: Cross multiply
    617.12x = 851.88 × 396.08
  4. Step 4: Simplify right side
    617.12x = 337,412.63
  5. Step 5: Solve for x
    x = 337,412.63/617.12
  6. Step 6: Final answer
    x = 546.75

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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.