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Finding the Fourth Proportional to 363.01, 543.27 and 282.22

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Solution

The fourth proportional to 363.01, 543.27 and 282.22 is: 422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.01 : 543.27 = 282.22 : x
  2. Step 2: Convert to fraction form
    363.01/543.27 = 282.22/x
  3. Step 3: Cross multiply
    363.01x = 543.27 × 282.22
  4. Step 4: Simplify right side
    363.01x = 153,321.66
  5. Step 5: Solve for x
    x = 153,321.66/363.01
  6. Step 6: Final answer
    x = 422.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.