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Finding the Fourth Proportional to 481.47, 720.86 and 316.43

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Solution

The fourth proportional to 481.47, 720.86 and 316.43 is: 473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.47 : 720.86 = 316.43 : x
  2. Step 2: Convert to fraction form
    481.47/720.86 = 316.43/x
  3. Step 3: Cross multiply
    481.47x = 720.86 × 316.43
  4. Step 4: Simplify right side
    481.47x = 228,099.25
  5. Step 5: Solve for x
    x = 228,099.25/481.47
  6. Step 6: Final answer
    x = 473.76

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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.