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Finding the Fourth Proportional to 828, 1,241.70 and 280.02

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Solution

The fourth proportional to 828, 1,241.70 and 280.02 is: 419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    828 : 1,241.70 = 280.02 : x
  2. Step 2: Convert to fraction form
    828/1,241.70 = 280.02/x
  3. Step 3: Cross multiply
    828x = 1,241.70 × 280.02
  4. Step 4: Simplify right side
    828x = 347,700.83
  5. Step 5: Solve for x
    x = 347,700.83/828
  6. Step 6: Final answer
    x = 419.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.