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Finding the Fourth Proportional to 422.11, 581.99 and 274.49

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Solution

The fourth proportional to 422.11, 581.99 and 274.49 is: 378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.11 : 581.99 = 274.49 : x
  2. Step 2: Convert to fraction form
    422.11/581.99 = 274.49/x
  3. Step 3: Cross multiply
    422.11x = 581.99 × 274.49
  4. Step 4: Simplify right side
    422.11x = 159,748.34
  5. Step 5: Solve for x
    x = 159,748.34/422.11
  6. Step 6: Final answer
    x = 378.45

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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.