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Finding the Fourth Proportional to 664.01, 996.92 and 421.61

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Solution

The fourth proportional to 664.01, 996.92 and 421.61 is: 633.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.01 : 996.92 = 421.61 : x
  2. Step 2: Convert to fraction form
    664.01/996.92 = 421.61/x
  3. Step 3: Cross multiply
    664.01x = 996.92 × 421.61
  4. Step 4: Simplify right side
    664.01x = 420,313.41
  5. Step 5: Solve for x
    x = 420,313.41/664.01
  6. Step 6: Final answer
    x = 633.00

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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.