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Finding the Fourth Proportional to 843.94, 1,265.91 and 330.94

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Solution

The fourth proportional to 843.94, 1,265.91 and 330.94 is: 496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.94 : 1,265.91 = 330.94 : x
  2. Step 2: Convert to fraction form
    843.94/1,265.91 = 330.94/x
  3. Step 3: Cross multiply
    843.94x = 1,265.91 × 330.94
  4. Step 4: Simplify right side
    843.94x = 418,937.09
  5. Step 5: Solve for x
    x = 418,937.09/843.94
  6. Step 6: Final answer
    x = 496.41

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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.