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Finding the Fourth Proportional to 828.34, 1,242.22 and 280.36

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Solution

The fourth proportional to 828.34, 1,242.22 and 280.36 is: 420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.34 : 1,242.22 = 280.36 : x
  2. Step 2: Convert to fraction form
    828.34/1,242.22 = 280.36/x
  3. Step 3: Cross multiply
    828.34x = 1,242.22 × 280.36
  4. Step 4: Simplify right side
    828.34x = 348,268.80
  5. Step 5: Solve for x
    x = 348,268.80/828.34
  6. Step 6: Final answer
    x = 420.44

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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.