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Finding the Fourth Proportional to 422.90, 579.86 and 381.28

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Solution

The fourth proportional to 422.90, 579.86 and 381.28 is: 522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.90 : 579.86 = 381.28 : x
  2. Step 2: Convert to fraction form
    422.90/579.86 = 381.28/x
  3. Step 3: Cross multiply
    422.90x = 579.86 × 381.28
  4. Step 4: Simplify right side
    422.90x = 221,089.02
  5. Step 5: Solve for x
    x = 221,089.02/422.90
  6. Step 6: Final answer
    x = 522.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.