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Finding the Fourth Proportional to 611.19, 843.77 and 490.24

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Solution

The fourth proportional to 611.19, 843.77 and 490.24 is: 676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.19 : 843.77 = 490.24 : x
  2. Step 2: Convert to fraction form
    611.19/843.77 = 490.24/x
  3. Step 3: Cross multiply
    611.19x = 843.77 × 490.24
  4. Step 4: Simplify right side
    611.19x = 413,649.80
  5. Step 5: Solve for x
    x = 413,649.80/611.19
  6. Step 6: Final answer
    x = 676.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.