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Finding the Fourth Proportional to 825.71, 1,238.59 and 363.25

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Solution

The fourth proportional to 825.71, 1,238.59 and 363.25 is: 544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.71 : 1,238.59 = 363.25 : x
  2. Step 2: Convert to fraction form
    825.71/1,238.59 = 363.25/x
  3. Step 3: Cross multiply
    825.71x = 1,238.59 × 363.25
  4. Step 4: Simplify right side
    825.71x = 449,917.82
  5. Step 5: Solve for x
    x = 449,917.82/825.71
  6. Step 6: Final answer
    x = 544.89

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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.