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Finding the Fourth Proportional to 825.52, 1,238.45 and 270.27

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Solution

The fourth proportional to 825.52, 1,238.45 and 270.27 is: 405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.52 : 1,238.45 = 270.27 : x
  2. Step 2: Convert to fraction form
    825.52/1,238.45 = 270.27/x
  3. Step 3: Cross multiply
    825.52x = 1,238.45 × 270.27
  4. Step 4: Simplify right side
    825.52x = 334,715.88
  5. Step 5: Solve for x
    x = 334,715.88/825.52
  6. Step 6: Final answer
    x = 405.46

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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.