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Finding the Fourth Proportional to 611.69, 844.13 and 349.71

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Solution

The fourth proportional to 611.69, 844.13 and 349.71 is: 482.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.69 : 844.13 = 349.71 : x
  2. Step 2: Convert to fraction form
    611.69/844.13 = 349.71/x
  3. Step 3: Cross multiply
    611.69x = 844.13 × 349.71
  4. Step 4: Simplify right side
    611.69x = 295,196.48
  5. Step 5: Solve for x
    x = 295,196.48/611.69
  6. Step 6: Final answer
    x = 482.59

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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.