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Finding the Fourth Proportional to 611, 843.24 and 378.20

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Solution

The fourth proportional to 611, 843.24 and 378.20 is: 521.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    611 : 843.24 = 378.20 : x
  2. Step 2: Convert to fraction form
    611/843.24 = 378.20/x
  3. Step 3: Cross multiply
    611x = 843.24 × 378.20
  4. Step 4: Simplify right side
    611x = 318,913.37
  5. Step 5: Solve for x
    x = 318,913.37/611
  6. Step 6: Final answer
    x = 521.95

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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.