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Finding the Fourth Proportional to 742.28, 1,024.30 and 447.36

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Solution

The fourth proportional to 742.28, 1,024.30 and 447.36 is: 617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.28 : 1,024.30 = 447.36 : x
  2. Step 2: Convert to fraction form
    742.28/1,024.30 = 447.36/x
  3. Step 3: Cross multiply
    742.28x = 1,024.30 × 447.36
  4. Step 4: Simplify right side
    742.28x = 458,230.85
  5. Step 5: Solve for x
    x = 458,230.85/742.28
  6. Step 6: Final answer
    x = 617.33

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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.