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Finding the Fourth Proportional to 611.98, 843.97 and 409.74

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Solution

The fourth proportional to 611.98, 843.97 and 409.74 is: 565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.98 : 843.97 = 409.74 : x
  2. Step 2: Convert to fraction form
    611.98/843.97 = 409.74/x
  3. Step 3: Cross multiply
    611.98x = 843.97 × 409.74
  4. Step 4: Simplify right side
    611.98x = 345,807.24
  5. Step 5: Solve for x
    x = 345,807.24/611.98
  6. Step 6: Final answer
    x = 565.07

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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.