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Finding the Fourth Proportional to 611.76, 844.32 and 349.84

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Solution

The fourth proportional to 611.76, 844.32 and 349.84 is: 482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.76 : 844.32 = 349.84 : x
  2. Step 2: Convert to fraction form
    611.76/844.32 = 349.84/x
  3. Step 3: Cross multiply
    611.76x = 844.32 × 349.84
  4. Step 4: Simplify right side
    611.76x = 295,376.91
  5. Step 5: Solve for x
    x = 295,376.91/611.76
  6. Step 6: Final answer
    x = 482.83

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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.