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Finding the Fourth Proportional to 422.01, 581.85 and 339.12

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Solution

The fourth proportional to 422.01, 581.85 and 339.12 is: 467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.01 : 581.85 = 339.12 : x
  2. Step 2: Convert to fraction form
    422.01/581.85 = 339.12/x
  3. Step 3: Cross multiply
    422.01x = 581.85 × 339.12
  4. Step 4: Simplify right side
    422.01x = 197,316.97
  5. Step 5: Solve for x
    x = 197,316.97/422.01
  6. Step 6: Final answer
    x = 467.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.