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Finding the Fourth Proportional to 611.84, 843.97 and 375.83

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Solution

The fourth proportional to 611.84, 843.97 and 375.83 is: 518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.84 : 843.97 = 375.83 : x
  2. Step 2: Convert to fraction form
    611.84/843.97 = 375.83/x
  3. Step 3: Cross multiply
    611.84x = 843.97 × 375.83
  4. Step 4: Simplify right side
    611.84x = 317,189.25
  5. Step 5: Solve for x
    x = 317,189.25/611.84
  6. Step 6: Final answer
    x = 518.42

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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.