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Finding the Fourth Proportional to 611.44, 843.71 and 345.92

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Solution

The fourth proportional to 611.44, 843.71 and 345.92 is: 477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.44 : 843.71 = 345.92 : x
  2. Step 2: Convert to fraction form
    611.44/843.71 = 345.92/x
  3. Step 3: Cross multiply
    611.44x = 843.71 × 345.92
  4. Step 4: Simplify right side
    611.44x = 291,855.73
  5. Step 5: Solve for x
    x = 291,855.73/611.44
  6. Step 6: Final answer
    x = 477.32

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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.