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Finding the Fourth Proportional to 664.67, 996.72 and 317.73

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Solution

The fourth proportional to 664.67, 996.72 and 317.73 is: 476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.67 : 996.72 = 317.73 : x
  2. Step 2: Convert to fraction form
    664.67/996.72 = 317.73/x
  3. Step 3: Cross multiply
    664.67x = 996.72 × 317.73
  4. Step 4: Simplify right side
    664.67x = 316,687.85
  5. Step 5: Solve for x
    x = 316,687.85/664.67
  6. Step 6: Final answer
    x = 476.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.