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Finding the Fourth Proportional to 349.06, 523.60 and 329.78

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Solution

The fourth proportional to 349.06, 523.60 and 329.78 is: 494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.06 : 523.60 = 329.78 : x
  2. Step 2: Convert to fraction form
    349.06/523.60 = 329.78/x
  3. Step 3: Cross multiply
    349.06x = 523.60 × 329.78
  4. Step 4: Simplify right side
    349.06x = 172,672.81
  5. Step 5: Solve for x
    x = 172,672.81/349.06
  6. Step 6: Final answer
    x = 494.68

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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.