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Finding the Fourth Proportional to 320.40, 480.62 and 199.49

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Solution

The fourth proportional to 320.40, 480.62 and 199.49 is: 299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.40 : 480.62 = 199.49 : x
  2. Step 2: Convert to fraction form
    320.40/480.62 = 199.49/x
  3. Step 3: Cross multiply
    320.40x = 480.62 × 199.49
  4. Step 4: Simplify right side
    320.40x = 95,876.98
  5. Step 5: Solve for x
    x = 95,876.98/320.40
  6. Step 6: Final answer
    x = 299.24

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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.