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Finding the Fourth Proportional to 409.10, 613.75 and 120.54

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Solution

The fourth proportional to 409.10, 613.75 and 120.54 is: 180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.10 : 613.75 = 120.54 : x
  2. Step 2: Convert to fraction form
    409.10/613.75 = 120.54/x
  3. Step 3: Cross multiply
    409.10x = 613.75 × 120.54
  4. Step 4: Simplify right side
    409.10x = 73,978.05
  5. Step 5: Solve for x
    x = 73,978.05/409.10
  6. Step 6: Final answer
    x = 180.83

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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.