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Finding the Fourth Proportional to 694.83, 1,042.23 and 232.61

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Solution

The fourth proportional to 694.83, 1,042.23 and 232.61 is: 348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.83 : 1,042.23 = 232.61 : x
  2. Step 2: Convert to fraction form
    694.83/1,042.23 = 232.61/x
  3. Step 3: Cross multiply
    694.83x = 1,042.23 × 232.61
  4. Step 4: Simplify right side
    694.83x = 242,433.12
  5. Step 5: Solve for x
    x = 242,433.12/694.83
  6. Step 6: Final answer
    x = 348.91

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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.