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Finding the Fourth Proportional to 617.82, 851.88 and 580.15

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Solution

The fourth proportional to 617.82, 851.88 and 580.15 is: 799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.82 : 851.88 = 580.15 : x
  2. Step 2: Convert to fraction form
    617.82/851.88 = 580.15/x
  3. Step 3: Cross multiply
    617.82x = 851.88 × 580.15
  4. Step 4: Simplify right side
    617.82x = 494,218.18
  5. Step 5: Solve for x
    x = 494,218.18/617.82
  6. Step 6: Final answer
    x = 799.94

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