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Finding the Fourth Proportional to 668.89, 921.96 and 447.76

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Solution

The fourth proportional to 668.89, 921.96 and 447.76 is: 617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.89 : 921.96 = 447.76 : x
  2. Step 2: Convert to fraction form
    668.89/921.96 = 447.76/x
  3. Step 3: Cross multiply
    668.89x = 921.96 × 447.76
  4. Step 4: Simplify right side
    668.89x = 412,816.81
  5. Step 5: Solve for x
    x = 412,816.81/668.89
  6. Step 6: Final answer
    x = 617.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.