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Finding the Fourth Proportional to 339.30, 468.45 and 306.09

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Solution

The fourth proportional to 339.30, 468.45 and 306.09 is: 422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.30 : 468.45 = 306.09 : x
  2. Step 2: Convert to fraction form
    339.30/468.45 = 306.09/x
  3. Step 3: Cross multiply
    339.30x = 468.45 × 306.09
  4. Step 4: Simplify right side
    339.30x = 143,387.86
  5. Step 5: Solve for x
    x = 143,387.86/339.30
  6. Step 6: Final answer
    x = 422.60

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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.