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Finding the Fourth Proportional to 664.82, 997.02 and 317.97

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Solution

The fourth proportional to 664.82, 997.02 and 317.97 is: 476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.82 : 997.02 = 317.97 : x
  2. Step 2: Convert to fraction form
    664.82/997.02 = 317.97/x
  3. Step 3: Cross multiply
    664.82x = 997.02 × 317.97
  4. Step 4: Simplify right side
    664.82x = 317,018.71
  5. Step 5: Solve for x
    x = 317,018.71/664.82
  6. Step 6: Final answer
    x = 476.85

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Why These Related Problems?

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