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Finding the Fourth Proportional to 668.42, 922.73 and 447.52

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Solution

The fourth proportional to 668.42, 922.73 and 447.52 is: 617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.42 : 922.73 = 447.52 : x
  2. Step 2: Convert to fraction form
    668.42/922.73 = 447.52/x
  3. Step 3: Cross multiply
    668.42x = 922.73 × 447.52
  4. Step 4: Simplify right side
    668.42x = 412,940.13
  5. Step 5: Solve for x
    x = 412,940.13/668.42
  6. Step 6: Final answer
    x = 617.79

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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.