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Finding the Fourth Proportional to 349.44, 483.20 and 300.80

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Solution

The fourth proportional to 349.44, 483.20 and 300.80 is: 415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.44 : 483.20 = 300.80 : x
  2. Step 2: Convert to fraction form
    349.44/483.20 = 300.80/x
  3. Step 3: Cross multiply
    349.44x = 483.20 × 300.80
  4. Step 4: Simplify right side
    349.44x = 145,346.56
  5. Step 5: Solve for x
    x = 145,346.56/349.44
  6. Step 6: Final answer
    x = 415.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.