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Finding the Fourth Proportional to 611.74, 844.25 and 349.77

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Solution

The fourth proportional to 611.74, 844.25 and 349.77 is: 482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.74 : 844.25 = 349.77 : x
  2. Step 2: Convert to fraction form
    611.74/844.25 = 349.77/x
  3. Step 3: Cross multiply
    611.74x = 844.25 × 349.77
  4. Step 4: Simplify right side
    611.74x = 295,287.35
  5. Step 5: Solve for x
    x = 295,287.35/611.74
  6. Step 6: Final answer
    x = 482.70

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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.