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Finding the Fourth Proportional to 828.18, 1,241.76 and 280.32

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Solution

The fourth proportional to 828.18, 1,241.76 and 280.32 is: 420.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.18 : 1,241.76 = 280.32 : x
  2. Step 2: Convert to fraction form
    828.18/1,241.76 = 280.32/x
  3. Step 3: Cross multiply
    828.18x = 1,241.76 × 280.32
  4. Step 4: Simplify right side
    828.18x = 348,090.16
  5. Step 5: Solve for x
    x = 348,090.16/828.18
  6. Step 6: Final answer
    x = 420.31

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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.