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Finding the Fourth Proportional to 668.70, 921.70 and 447.57

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Solution

The fourth proportional to 668.70, 921.70 and 447.57 is: 616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.70 : 921.70 = 447.57 : x
  2. Step 2: Convert to fraction form
    668.70/921.70 = 447.57/x
  3. Step 3: Cross multiply
    668.70x = 921.70 × 447.57
  4. Step 4: Simplify right side
    668.70x = 412,525.27
  5. Step 5: Solve for x
    x = 412,525.27/668.70
  6. Step 6: Final answer
    x = 616.91

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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.