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Finding the Fourth Proportional to 828.29, 1,242.45 and 280.42

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Solution

The fourth proportional to 828.29, 1,242.45 and 280.42 is: 420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.29 : 1,242.45 = 280.42 : x
  2. Step 2: Convert to fraction form
    828.29/1,242.45 = 280.42/x
  3. Step 3: Cross multiply
    828.29x = 1,242.45 × 280.42
  4. Step 4: Simplify right side
    828.29x = 348,404.72
  5. Step 5: Solve for x
    x = 348,404.72/828.29
  6. Step 6: Final answer
    x = 420.63

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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.