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Finding the Fourth Proportional to 339.84, 468.41 and 234.75

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Solution

The fourth proportional to 339.84, 468.41 and 234.75 is: 323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.84 : 468.41 = 234.75 : x
  2. Step 2: Convert to fraction form
    339.84/468.41 = 234.75/x
  3. Step 3: Cross multiply
    339.84x = 468.41 × 234.75
  4. Step 4: Simplify right side
    339.84x = 109,959.25
  5. Step 5: Solve for x
    x = 109,959.25/339.84
  6. Step 6: Final answer
    x = 323.56

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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.