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Finding the Fourth Proportional to 481.53, 721.44 and 385.14

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Solution

The fourth proportional to 481.53, 721.44 and 385.14 is: 577.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.53 : 721.44 = 385.14 : x
  2. Step 2: Convert to fraction form
    481.53/721.44 = 385.14/x
  3. Step 3: Cross multiply
    481.53x = 721.44 × 385.14
  4. Step 4: Simplify right side
    481.53x = 277,855.40
  5. Step 5: Solve for x
    x = 277,855.40/481.53
  6. Step 6: Final answer
    x = 577.03

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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.