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Finding the Fourth Proportional to 664.52, 996.75 and 317.75

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Solution

The fourth proportional to 664.52, 996.75 and 317.75 is: 476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.52 : 996.75 = 317.75 : x
  2. Step 2: Convert to fraction form
    664.52/996.75 = 317.75/x
  3. Step 3: Cross multiply
    664.52x = 996.75 × 317.75
  4. Step 4: Simplify right side
    664.52x = 316,712.33
  5. Step 5: Solve for x
    x = 316,712.33/664.52
  6. Step 6: Final answer
    x = 476.61

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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.