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Finding the Fourth Proportional to 349.68, 523.85 and 219.82

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Solution

The fourth proportional to 349.68, 523.85 and 219.82 is: 329.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.68 : 523.85 = 219.82 : x
  2. Step 2: Convert to fraction form
    349.68/523.85 = 219.82/x
  3. Step 3: Cross multiply
    349.68x = 523.85 × 219.82
  4. Step 4: Simplify right side
    349.68x = 115,152.71
  5. Step 5: Solve for x
    x = 115,152.71/349.68
  6. Step 6: Final answer
    x = 329.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.