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Finding the Fourth Proportional to 694.69, 1,042.10 and 232.30

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Solution

The fourth proportional to 694.69, 1,042.10 and 232.30 is: 348.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.69 : 1,042.10 = 232.30 : x
  2. Step 2: Convert to fraction form
    694.69/1,042.10 = 232.30/x
  3. Step 3: Cross multiply
    694.69x = 1,042.10 × 232.30
  4. Step 4: Simplify right side
    694.69x = 242,077.81
  5. Step 5: Solve for x
    x = 242,077.81/694.69
  6. Step 6: Final answer
    x = 348.47

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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.