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Finding the Fourth Proportional to 611.80, 844.96 and 414.97

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Solution

The fourth proportional to 611.80, 844.96 and 414.97 is: 573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.80 : 844.96 = 414.97 : x
  2. Step 2: Convert to fraction form
    611.80/844.96 = 414.97/x
  3. Step 3: Cross multiply
    611.80x = 844.96 × 414.97
  4. Step 4: Simplify right side
    611.80x = 350,631.98
  5. Step 5: Solve for x
    x = 350,631.98/611.80
  6. Step 6: Final answer
    x = 573.12

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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.