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Finding the Fourth Proportional to 320.82, 480.90 and 229.20

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Solution

The fourth proportional to 320.82, 480.90 and 229.20 is: 343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.82 : 480.90 = 229.20 : x
  2. Step 2: Convert to fraction form
    320.82/480.90 = 229.20/x
  3. Step 3: Cross multiply
    320.82x = 480.90 × 229.20
  4. Step 4: Simplify right side
    320.82x = 110,222.28
  5. Step 5: Solve for x
    x = 110,222.28/320.82
  6. Step 6: Final answer
    x = 343.56

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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.