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Finding the Fourth Proportional to 825.23, 1,238.04 and 277.43

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Solution

The fourth proportional to 825.23, 1,238.04 and 277.43 is: 416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.23 : 1,238.04 = 277.43 : x
  2. Step 2: Convert to fraction form
    825.23/1,238.04 = 277.43/x
  3. Step 3: Cross multiply
    825.23x = 1,238.04 × 277.43
  4. Step 4: Simplify right side
    825.23x = 343,463.25
  5. Step 5: Solve for x
    x = 343,463.25/825.23
  6. Step 6: Final answer
    x = 416.20

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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.