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Finding the Fourth Proportional to 611.75, 844.27 and 349.77

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Solution

The fourth proportional to 611.75, 844.27 and 349.77 is: 482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.75 : 844.27 = 349.77 : x
  2. Step 2: Convert to fraction form
    611.75/844.27 = 349.77/x
  3. Step 3: Cross multiply
    611.75x = 844.27 × 349.77
  4. Step 4: Simplify right side
    611.75x = 295,299.83
  5. Step 5: Solve for x
    x = 295,299.83/611.75
  6. Step 6: Final answer
    x = 482.71

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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.