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Finding the Fourth Proportional to 349.60, 523.49 and 246.33

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Solution

The fourth proportional to 349.60, 523.49 and 246.33 is: 368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.60 : 523.49 = 246.33 : x
  2. Step 2: Convert to fraction form
    349.60/523.49 = 246.33/x
  3. Step 3: Cross multiply
    349.60x = 523.49 × 246.33
  4. Step 4: Simplify right side
    349.60x = 128,951.29
  5. Step 5: Solve for x
    x = 128,951.29/349.60
  6. Step 6: Final answer
    x = 368.85

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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.