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Finding the Fourth Proportional to 694.43, 1,041.65 and 232.73

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Solution

The fourth proportional to 694.43, 1,041.65 and 232.73 is: 349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.43 : 1,041.65 = 232.73 : x
  2. Step 2: Convert to fraction form
    694.43/1,041.65 = 232.73/x
  3. Step 3: Cross multiply
    694.43x = 1,041.65 × 232.73
  4. Step 4: Simplify right side
    694.43x = 242,423.49
  5. Step 5: Solve for x
    x = 242,423.49/694.43
  6. Step 6: Final answer
    x = 349.10

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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.