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Finding the Fourth Proportional to 523.73, 785.12 and 263.39

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Solution

The fourth proportional to 523.73, 785.12 and 263.39 is: 394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.73 : 785.12 = 263.39 : x
  2. Step 2: Convert to fraction form
    523.73/785.12 = 263.39/x
  3. Step 3: Cross multiply
    523.73x = 785.12 × 263.39
  4. Step 4: Simplify right side
    523.73x = 206,789.49
  5. Step 5: Solve for x
    x = 206,789.49/523.73
  6. Step 6: Final answer
    x = 394.84

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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.