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Finding the Fourth Proportional to 664.96, 997.07 and 318.38

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Solution

The fourth proportional to 664.96, 997.07 and 318.38 is: 477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.96 : 997.07 = 318.38 : x
  2. Step 2: Convert to fraction form
    664.96/997.07 = 318.38/x
  3. Step 3: Cross multiply
    664.96x = 997.07 × 318.38
  4. Step 4: Simplify right side
    664.96x = 317,443.86
  5. Step 5: Solve for x
    x = 317,443.86/664.96
  6. Step 6: Final answer
    x = 477.39

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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.