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Finding the Fourth Proportional to 664.98, 997.47 and 318.24

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Solution

The fourth proportional to 664.98, 997.47 and 318.24 is: 477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.98 : 997.47 = 318.24 : x
  2. Step 2: Convert to fraction form
    664.98/997.47 = 318.24/x
  3. Step 3: Cross multiply
    664.98x = 997.47 × 318.24
  4. Step 4: Simplify right side
    664.98x = 317,434.85
  5. Step 5: Solve for x
    x = 317,434.85/664.98
  6. Step 6: Final answer
    x = 477.36

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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.