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Finding the Fourth Proportional to 825.59, 1,238.22 and 240.47

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Solution

The fourth proportional to 825.59, 1,238.22 and 240.47 is: 360.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.59 : 1,238.22 = 240.47 : x
  2. Step 2: Convert to fraction form
    825.59/1,238.22 = 240.47/x
  3. Step 3: Cross multiply
    825.59x = 1,238.22 × 240.47
  4. Step 4: Simplify right side
    825.59x = 297,753.22
  5. Step 5: Solve for x
    x = 297,753.22/825.59
  6. Step 6: Final answer
    x = 360.65

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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.