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Finding the Fourth Proportional to 409.01, 613.44 and 120.38

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Solution

The fourth proportional to 409.01, 613.44 and 120.38 is: 180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.01 : 613.44 = 120.38 : x
  2. Step 2: Convert to fraction form
    409.01/613.44 = 120.38/x
  3. Step 3: Cross multiply
    409.01x = 613.44 × 120.38
  4. Step 4: Simplify right side
    409.01x = 73,842.84
  5. Step 5: Solve for x
    x = 73,842.84/409.01
  6. Step 6: Final answer
    x = 180.54

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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.