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Finding the Fourth Proportional to 825.25, 1,238.13 and 338.34

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Solution

The fourth proportional to 825.25, 1,238.13 and 338.34 is: 507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.25 : 1,238.13 = 338.34 : x
  2. Step 2: Convert to fraction form
    825.25/1,238.13 = 338.34/x
  3. Step 3: Cross multiply
    825.25x = 1,238.13 × 338.34
  4. Step 4: Simplify right side
    825.25x = 418,908.90
  5. Step 5: Solve for x
    x = 418,908.90/825.25
  6. Step 6: Final answer
    x = 507.61

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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.