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Finding the Fourth Proportional to 611.64, 844.22 and 378.62

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Solution

The fourth proportional to 611.64, 844.22 and 378.62 is: 522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.64 : 844.22 = 378.62 : x
  2. Step 2: Convert to fraction form
    611.64/844.22 = 378.62/x
  3. Step 3: Cross multiply
    611.64x = 844.22 × 378.62
  4. Step 4: Simplify right side
    611.64x = 319,638.58
  5. Step 5: Solve for x
    x = 319,638.58/611.64
  6. Step 6: Final answer
    x = 522.59

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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.