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Finding the Fourth Proportional to 305.44, 458.09 and 120.33

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Solution

The fourth proportional to 305.44, 458.09 and 120.33 is: 180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.44 : 458.09 = 120.33 : x
  2. Step 2: Convert to fraction form
    305.44/458.09 = 120.33/x
  3. Step 3: Cross multiply
    305.44x = 458.09 × 120.33
  4. Step 4: Simplify right side
    305.44x = 55,121.97
  5. Step 5: Solve for x
    x = 55,121.97/305.44
  6. Step 6: Final answer
    x = 180.47

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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.