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Finding the Fourth Proportional to 481.55, 723.24 and 427.91

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Solution

The fourth proportional to 481.55, 723.24 and 427.91 is: 642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.55 : 723.24 = 427.91 : x
  2. Step 2: Convert to fraction form
    481.55/723.24 = 427.91/x
  3. Step 3: Cross multiply
    481.55x = 723.24 × 427.91
  4. Step 4: Simplify right side
    481.55x = 309,481.63
  5. Step 5: Solve for x
    x = 309,481.63/481.55
  6. Step 6: Final answer
    x = 642.68

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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.