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Finding the Fourth Proportional to 694.38, 1,041.89 and 232.23

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Solution

The fourth proportional to 694.38, 1,041.89 and 232.23 is: 348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.38 : 1,041.89 = 232.23 : x
  2. Step 2: Convert to fraction form
    694.38/1,041.89 = 232.23/x
  3. Step 3: Cross multiply
    694.38x = 1,041.89 × 232.23
  4. Step 4: Simplify right side
    694.38x = 241,960.86
  5. Step 5: Solve for x
    x = 241,960.86/694.38
  6. Step 6: Final answer
    x = 348.45

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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.