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Finding the Fourth Proportional to 611.34, 843.81 and 378.66

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Solution

The fourth proportional to 611.34, 843.81 and 378.66 is: 522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.34 : 843.81 = 378.66 : x
  2. Step 2: Convert to fraction form
    611.34/843.81 = 378.66/x
  3. Step 3: Cross multiply
    611.34x = 843.81 × 378.66
  4. Step 4: Simplify right side
    611.34x = 319,517.09
  5. Step 5: Solve for x
    x = 319,517.09/611.34
  6. Step 6: Final answer
    x = 522.65

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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.