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Finding the Fourth Proportional to 422.12, 581.62 and 305.48

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Solution

The fourth proportional to 422.12, 581.62 and 305.48 is: 420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.12 : 581.62 = 305.48 : x
  2. Step 2: Convert to fraction form
    422.12/581.62 = 305.48/x
  3. Step 3: Cross multiply
    422.12x = 581.62 × 305.48
  4. Step 4: Simplify right side
    422.12x = 177,673.28
  5. Step 5: Solve for x
    x = 177,673.28/422.12
  6. Step 6: Final answer
    x = 420.91

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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.