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Finding the Fourth Proportional to 828.26, 1,242.10 and 280.29

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Solution

The fourth proportional to 828.26, 1,242.10 and 280.29 is: 420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.26 : 1,242.10 = 280.29 : x
  2. Step 2: Convert to fraction form
    828.26/1,242.10 = 280.29/x
  3. Step 3: Cross multiply
    828.26x = 1,242.10 × 280.29
  4. Step 4: Simplify right side
    828.26x = 348,146.81
  5. Step 5: Solve for x
    x = 348,146.81/828.26
  6. Step 6: Final answer
    x = 420.34

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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.