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Finding the Fourth Proportional to 664.26, 996.36 and 421.89

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Solution

The fourth proportional to 664.26, 996.36 and 421.89 is: 632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.26 : 996.36 = 421.89 : x
  2. Step 2: Convert to fraction form
    664.26/996.36 = 421.89/x
  3. Step 3: Cross multiply
    664.26x = 996.36 × 421.89
  4. Step 4: Simplify right side
    664.26x = 420,354.32
  5. Step 5: Solve for x
    x = 420,354.32/664.26
  6. Step 6: Final answer
    x = 632.82

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