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Finding the Fourth Proportional to 481.72, 722.27 and 189.26

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Solution

The fourth proportional to 481.72, 722.27 and 189.26 is: 283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.72 : 722.27 = 189.26 : x
  2. Step 2: Convert to fraction form
    481.72/722.27 = 189.26/x
  3. Step 3: Cross multiply
    481.72x = 722.27 × 189.26
  4. Step 4: Simplify right side
    481.72x = 136,697.36
  5. Step 5: Solve for x
    x = 136,697.36/481.72
  6. Step 6: Final answer
    x = 283.77

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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.