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Finding the Fourth Proportional to 825.41, 1,238.12 and 338.46

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Solution

The fourth proportional to 825.41, 1,238.12 and 338.46 is: 507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.41 : 1,238.12 = 338.46 : x
  2. Step 2: Convert to fraction form
    825.41/1,238.12 = 338.46/x
  3. Step 3: Cross multiply
    825.41x = 1,238.12 × 338.46
  4. Step 4: Simplify right side
    825.41x = 419,052.40
  5. Step 5: Solve for x
    x = 419,052.40/825.41
  6. Step 6: Final answer
    x = 507.69

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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.