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Finding the Fourth Proportional to 611.08, 843.07 and 362.28

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Solution

The fourth proportional to 611.08, 843.07 and 362.28 is: 499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.08 : 843.07 = 362.28 : x
  2. Step 2: Convert to fraction form
    611.08/843.07 = 362.28/x
  3. Step 3: Cross multiply
    611.08x = 843.07 × 362.28
  4. Step 4: Simplify right side
    611.08x = 305,427.40
  5. Step 5: Solve for x
    x = 305,427.40/611.08
  6. Step 6: Final answer
    x = 499.82

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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.