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Finding the Fourth Proportional to 694.78, 1,042.29 and 232.51

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Solution

The fourth proportional to 694.78, 1,042.29 and 232.51 is: 348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.78 : 1,042.29 = 232.51 : x
  2. Step 2: Convert to fraction form
    694.78/1,042.29 = 232.51/x
  3. Step 3: Cross multiply
    694.78x = 1,042.29 × 232.51
  4. Step 4: Simplify right side
    694.78x = 242,342.85
  5. Step 5: Solve for x
    x = 242,342.85/694.78
  6. Step 6: Final answer
    x = 348.81

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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.