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Finding the Fourth Proportional to 825.38, 1,238.07 and 312.38

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Solution

The fourth proportional to 825.38, 1,238.07 and 312.38 is: 468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.38 : 1,238.07 = 312.38 : x
  2. Step 2: Convert to fraction form
    825.38/1,238.07 = 312.38/x
  3. Step 3: Cross multiply
    825.38x = 1,238.07 × 312.38
  4. Step 4: Simplify right side
    825.38x = 386,742.12
  5. Step 5: Solve for x
    x = 386,742.12/825.38
  6. Step 6: Final answer
    x = 468.57

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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.