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Finding the Fourth Proportional to 829.28, 1,242.96 and 443.36

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Solution

The fourth proportional to 829.28, 1,242.96 and 443.36 is: 664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.28 : 1,242.96 = 443.36 : x
  2. Step 2: Convert to fraction form
    829.28/1,242.96 = 443.36/x
  3. Step 3: Cross multiply
    829.28x = 1,242.96 × 443.36
  4. Step 4: Simplify right side
    829.28x = 551,078.75
  5. Step 5: Solve for x
    x = 551,078.75/829.28
  6. Step 6: Final answer
    x = 664.53

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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.