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Finding the Fourth Proportional to 591.14, 885.82 and 330.82

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Solution

The fourth proportional to 591.14, 885.82 and 330.82 is: 495.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.14 : 885.82 = 330.82 : x
  2. Step 2: Convert to fraction form
    591.14/885.82 = 330.82/x
  3. Step 3: Cross multiply
    591.14x = 885.82 × 330.82
  4. Step 4: Simplify right side
    591.14x = 293,046.97
  5. Step 5: Solve for x
    x = 293,046.97/591.14
  6. Step 6: Final answer
    x = 495.73

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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.