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Finding the Fourth Proportional to 611.73, 844.20 and 349.76

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Solution

The fourth proportional to 611.73, 844.20 and 349.76 is: 482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.73 : 844.20 = 349.76 : x
  2. Step 2: Convert to fraction form
    611.73/844.20 = 349.76/x
  3. Step 3: Cross multiply
    611.73x = 844.20 × 349.76
  4. Step 4: Simplify right side
    611.73x = 295,269.50
  5. Step 5: Solve for x
    x = 295,269.50/611.73
  6. Step 6: Final answer
    x = 482.68

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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.