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Finding the Fourth Proportional to 480.12, 662.61 and 303.27

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Solution

The fourth proportional to 480.12, 662.61 and 303.27 is: 418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.12 : 662.61 = 303.27 : x
  2. Step 2: Convert to fraction form
    480.12/662.61 = 303.27/x
  3. Step 3: Cross multiply
    480.12x = 662.61 × 303.27
  4. Step 4: Simplify right side
    480.12x = 200,949.73
  5. Step 5: Solve for x
    x = 200,949.73/480.12
  6. Step 6: Final answer
    x = 418.54

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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.