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Finding the Fourth Proportional to 617.29, 851.54 and 418.13

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Solution

The fourth proportional to 617.29, 851.54 and 418.13 is: 576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.29 : 851.54 = 418.13 : x
  2. Step 2: Convert to fraction form
    617.29/851.54 = 418.13/x
  3. Step 3: Cross multiply
    617.29x = 851.54 × 418.13
  4. Step 4: Simplify right side
    617.29x = 356,049.64
  5. Step 5: Solve for x
    x = 356,049.64/617.29
  6. Step 6: Final answer
    x = 576.80

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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.