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Finding the Fourth Proportional to 664.25, 996.40 and 430.52

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Solution

The fourth proportional to 664.25, 996.40 and 430.52 is: 645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.25 : 996.40 = 430.52 : x
  2. Step 2: Convert to fraction form
    664.25/996.40 = 430.52/x
  3. Step 3: Cross multiply
    664.25x = 996.40 × 430.52
  4. Step 4: Simplify right side
    664.25x = 428,965.68
  5. Step 5: Solve for x
    x = 428,965.68/664.25
  6. Step 6: Final answer
    x = 645.79

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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.