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Finding the Fourth Proportional to 349.36, 523.68 and 301.48

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Solution

The fourth proportional to 349.36, 523.68 and 301.48 is: 451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.36 : 523.68 = 301.48 : x
  2. Step 2: Convert to fraction form
    349.36/523.68 = 301.48/x
  3. Step 3: Cross multiply
    349.36x = 523.68 × 301.48
  4. Step 4: Simplify right side
    349.36x = 157,879.05
  5. Step 5: Solve for x
    x = 157,879.05/349.36
  6. Step 6: Final answer
    x = 451.91

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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.