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Finding the Fourth Proportional to 447.42, 669.52 and 378.73

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Solution

The fourth proportional to 447.42, 669.52 and 378.73 is: 566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.42 : 669.52 = 378.73 : x
  2. Step 2: Convert to fraction form
    447.42/669.52 = 378.73/x
  3. Step 3: Cross multiply
    447.42x = 669.52 × 378.73
  4. Step 4: Simplify right side
    447.42x = 253,567.31
  5. Step 5: Solve for x
    x = 253,567.31/447.42
  6. Step 6: Final answer
    x = 566.73

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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.