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Finding the Fourth Proportional to 829.68, 1,244.30 and 281.76

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Solution

The fourth proportional to 829.68, 1,244.30 and 281.76 is: 422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.68 : 1,244.30 = 281.76 : x
  2. Step 2: Convert to fraction form
    829.68/1,244.30 = 281.76/x
  3. Step 3: Cross multiply
    829.68x = 1,244.30 × 281.76
  4. Step 4: Simplify right side
    829.68x = 350,593.97
  5. Step 5: Solve for x
    x = 350,593.97/829.68
  6. Step 6: Final answer
    x = 422.57

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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.