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Finding the Fourth Proportional to 611.22, 843.66 and 464.22

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Solution

The fourth proportional to 611.22, 843.66 and 464.22 is: 640.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.22 : 843.66 = 464.22 : x
  2. Step 2: Convert to fraction form
    611.22/843.66 = 464.22/x
  3. Step 3: Cross multiply
    611.22x = 843.66 × 464.22
  4. Step 4: Simplify right side
    611.22x = 391,643.85
  5. Step 5: Solve for x
    x = 391,643.85/611.22
  6. Step 6: Final answer
    x = 640.76

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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.