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Finding the Fourth Proportional to 617.03, 851.61 and 476.83

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Solution

The fourth proportional to 617.03, 851.61 and 476.83 is: 658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.03 : 851.61 = 476.83 : x
  2. Step 2: Convert to fraction form
    617.03/851.61 = 476.83/x
  3. Step 3: Cross multiply
    617.03x = 851.61 × 476.83
  4. Step 4: Simplify right side
    617.03x = 406,073.20
  5. Step 5: Solve for x
    x = 406,073.20/617.03
  6. Step 6: Final answer
    x = 658.11

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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.