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Finding the Fourth Proportional to 481.83, 722.27 and 207.75

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Solution

The fourth proportional to 481.83, 722.27 and 207.75 is: 311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.83 : 722.27 = 207.75 : x
  2. Step 2: Convert to fraction form
    481.83/722.27 = 207.75/x
  3. Step 3: Cross multiply
    481.83x = 722.27 × 207.75
  4. Step 4: Simplify right side
    481.83x = 150,050.55
  5. Step 5: Solve for x
    x = 150,050.55/481.83
  6. Step 6: Final answer
    x = 311.42

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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.