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Finding the Fourth Proportional to 611.47, 844.14 and 378.73

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Solution

The fourth proportional to 611.47, 844.14 and 378.73 is: 522.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.47 : 844.14 = 378.73 : x
  2. Step 2: Convert to fraction form
    611.47/844.14 = 378.73/x
  3. Step 3: Cross multiply
    611.47x = 844.14 × 378.73
  4. Step 4: Simplify right side
    611.47x = 319,701.14
  5. Step 5: Solve for x
    x = 319,701.14/611.47
  6. Step 6: Final answer
    x = 522.84

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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.