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Finding the Fourth Proportional to 664.58, 996.14 and 421.23

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Solution

The fourth proportional to 664.58, 996.14 and 421.23 is: 631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.58 : 996.14 = 421.23 : x
  2. Step 2: Convert to fraction form
    664.58/996.14 = 421.23/x
  3. Step 3: Cross multiply
    664.58x = 996.14 × 421.23
  4. Step 4: Simplify right side
    664.58x = 419,601.95
  5. Step 5: Solve for x
    x = 419,601.95/664.58
  6. Step 6: Final answer
    x = 631.38

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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.