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Finding the Fourth Proportional to 611.23, 843.78 and 464.53

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Solution

The fourth proportional to 611.23, 843.78 and 464.53 is: 641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.23 : 843.78 = 464.53 : x
  2. Step 2: Convert to fraction form
    611.23/843.78 = 464.53/x
  3. Step 3: Cross multiply
    611.23x = 843.78 × 464.53
  4. Step 4: Simplify right side
    611.23x = 391,961.12
  5. Step 5: Solve for x
    x = 391,961.12/611.23
  6. Step 6: Final answer
    x = 641.27

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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.