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Finding the Fourth Proportional to 349.20, 523.92 and 309.12

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Solution

The fourth proportional to 349.20, 523.92 and 309.12 is: 463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.20 : 523.92 = 309.12 : x
  2. Step 2: Convert to fraction form
    349.20/523.92 = 309.12/x
  3. Step 3: Cross multiply
    349.20x = 523.92 × 309.12
  4. Step 4: Simplify right side
    349.20x = 161,954.15
  5. Step 5: Solve for x
    x = 161,954.15/349.20
  6. Step 6: Final answer
    x = 463.79

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Why These Related Problems?

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