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Finding the Fourth Proportional to 611.69, 843.97 and 435.14

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Solution

The fourth proportional to 611.69, 843.97 and 435.14 is: 600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.69 : 843.97 = 435.14 : x
  2. Step 2: Convert to fraction form
    611.69/843.97 = 435.14/x
  3. Step 3: Cross multiply
    611.69x = 843.97 × 435.14
  4. Step 4: Simplify right side
    611.69x = 367,245.11
  5. Step 5: Solve for x
    x = 367,245.11/611.69
  6. Step 6: Final answer
    x = 600.38

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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.