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Finding the Fourth Proportional to 610.91, 843.46 and 378.44

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Solution

The fourth proportional to 610.91, 843.46 and 378.44 is: 522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.91 : 843.46 = 378.44 : x
  2. Step 2: Convert to fraction form
    610.91/843.46 = 378.44/x
  3. Step 3: Cross multiply
    610.91x = 843.46 × 378.44
  4. Step 4: Simplify right side
    610.91x = 319,199.00
  5. Step 5: Solve for x
    x = 319,199.00/610.91
  6. Step 6: Final answer
    x = 522.50

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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.