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Finding the Fourth Proportional to 321.46, 481.64 and 229.70

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Solution

The fourth proportional to 321.46, 481.64 and 229.70 is: 344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.46 : 481.64 = 229.70 : x
  2. Step 2: Convert to fraction form
    321.46/481.64 = 229.70/x
  3. Step 3: Cross multiply
    321.46x = 481.64 × 229.70
  4. Step 4: Simplify right side
    321.46x = 110,632.76
  5. Step 5: Solve for x
    x = 110,632.76/321.46
  6. Step 6: Final answer
    x = 344.16

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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.