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Finding the Fourth Proportional to 481.48, 721.26 and 384.14

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Solution

The fourth proportional to 481.48, 721.26 and 384.14 is: 575.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.48 : 721.26 = 384.14 : x
  2. Step 2: Convert to fraction form
    481.48/721.26 = 384.14/x
  3. Step 3: Cross multiply
    481.48x = 721.26 × 384.14
  4. Step 4: Simplify right side
    481.48x = 277,066.62
  5. Step 5: Solve for x
    x = 277,066.62/481.48
  6. Step 6: Final answer
    x = 575.45

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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.