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Finding the Fourth Proportional to 664.58, 996.63 and 225.76

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Solution

The fourth proportional to 664.58, 996.63 and 225.76 is: 338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.58 : 996.63 = 225.76 : x
  2. Step 2: Convert to fraction form
    664.58/996.63 = 225.76/x
  3. Step 3: Cross multiply
    664.58x = 996.63 × 225.76
  4. Step 4: Simplify right side
    664.58x = 224,999.19
  5. Step 5: Solve for x
    x = 224,999.19/664.58
  6. Step 6: Final answer
    x = 338.56

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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.