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Finding the Fourth Proportional to 321.66, 481.77 and 310.86

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Solution

The fourth proportional to 321.66, 481.77 and 310.86 is: 465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.66 : 481.77 = 310.86 : x
  2. Step 2: Convert to fraction form
    321.66/481.77 = 310.86/x
  3. Step 3: Cross multiply
    321.66x = 481.77 × 310.86
  4. Step 4: Simplify right side
    321.66x = 149,763.02
  5. Step 5: Solve for x
    x = 149,763.02/321.66
  6. Step 6: Final answer
    x = 465.59

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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.