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Finding the Fourth Proportional to 827.24, 1,241.31 and 340.17

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Solution

The fourth proportional to 827.24, 1,241.31 and 340.17 is: 510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.24 : 1,241.31 = 340.17 : x
  2. Step 2: Convert to fraction form
    827.24/1,241.31 = 340.17/x
  3. Step 3: Cross multiply
    827.24x = 1,241.31 × 340.17
  4. Step 4: Simplify right side
    827.24x = 422,256.42
  5. Step 5: Solve for x
    x = 422,256.42/827.24
  6. Step 6: Final answer
    x = 510.44

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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.