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Finding the Fourth Proportional to 694.73, 1,042.10 and 232.43

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Solution

The fourth proportional to 694.73, 1,042.10 and 232.43 is: 348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.73 : 1,042.10 = 232.43 : x
  2. Step 2: Convert to fraction form
    694.73/1,042.10 = 232.43/x
  3. Step 3: Cross multiply
    694.73x = 1,042.10 × 232.43
  4. Step 4: Simplify right side
    694.73x = 242,208.93
  5. Step 5: Solve for x
    x = 242,208.93/694.73
  6. Step 6: Final answer
    x = 348.64

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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.