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Finding the Fourth Proportional to 611.13, 843.31 and 362.41

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Solution

The fourth proportional to 611.13, 843.31 and 362.41 is: 500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.13 : 843.31 = 362.41 : x
  2. Step 2: Convert to fraction form
    611.13/843.31 = 362.41/x
  3. Step 3: Cross multiply
    611.13x = 843.31 × 362.41
  4. Step 4: Simplify right side
    611.13x = 305,623.98
  5. Step 5: Solve for x
    x = 305,623.98/611.13
  6. Step 6: Final answer
    x = 500.10

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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.