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Finding the Fourth Proportional to 422.22, 582.39 and 266.88

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Solution

The fourth proportional to 422.22, 582.39 and 266.88 is: 368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.22 : 582.39 = 266.88 : x
  2. Step 2: Convert to fraction form
    422.22/582.39 = 266.88/x
  3. Step 3: Cross multiply
    422.22x = 582.39 × 266.88
  4. Step 4: Simplify right side
    422.22x = 155,428.24
  5. Step 5: Solve for x
    x = 155,428.24/422.22
  6. Step 6: Final answer
    x = 368.12

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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.