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Finding the Fourth Proportional to 339.12, 467.91 and 213.17

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Solution

The fourth proportional to 339.12, 467.91 and 213.17 is: 294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.12 : 467.91 = 213.17 : x
  2. Step 2: Convert to fraction form
    339.12/467.91 = 213.17/x
  3. Step 3: Cross multiply
    339.12x = 467.91 × 213.17
  4. Step 4: Simplify right side
    339.12x = 99,742.04
  5. Step 5: Solve for x
    x = 99,742.04/339.12
  6. Step 6: Final answer
    x = 294.12

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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.