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Finding the Fourth Proportional to 611.62, 844.03 and 331.84

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Solution

The fourth proportional to 611.62, 844.03 and 331.84 is: 457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.62 : 844.03 = 331.84 : x
  2. Step 2: Convert to fraction form
    611.62/844.03 = 331.84/x
  3. Step 3: Cross multiply
    611.62x = 844.03 × 331.84
  4. Step 4: Simplify right side
    611.62x = 280,085.59
  5. Step 5: Solve for x
    x = 280,085.59/611.62
  6. Step 6: Final answer
    x = 457.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.