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Finding the Fourth Proportional to 821.52, 1,232.24 and 213.52

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Solution

The fourth proportional to 821.52, 1,232.24 and 213.52 is: 320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.52 : 1,232.24 = 213.52 : x
  2. Step 2: Convert to fraction form
    821.52/1,232.24 = 213.52/x
  3. Step 3: Cross multiply
    821.52x = 1,232.24 × 213.52
  4. Step 4: Simplify right side
    821.52x = 263,107.88
  5. Step 5: Solve for x
    x = 263,107.88/821.52
  6. Step 6: Final answer
    x = 320.27

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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.