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Finding the Fourth Proportional to 481.92, 665.77 and 316.52

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Solution

The fourth proportional to 481.92, 665.77 and 316.52 is: 437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.92 : 665.77 = 316.52 : x
  2. Step 2: Convert to fraction form
    481.92/665.77 = 316.52/x
  3. Step 3: Cross multiply
    481.92x = 665.77 × 316.52
  4. Step 4: Simplify right side
    481.92x = 210,729.52
  5. Step 5: Solve for x
    x = 210,729.52/481.92
  6. Step 6: Final answer
    x = 437.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.