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Finding the Fourth Proportional to 411.14, 616.74 and 180.03

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Solution

The fourth proportional to 411.14, 616.74 and 180.03 is: 270.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.14 : 616.74 = 180.03 : x
  2. Step 2: Convert to fraction form
    411.14/616.74 = 180.03/x
  3. Step 3: Cross multiply
    411.14x = 616.74 × 180.03
  4. Step 4: Simplify right side
    411.14x = 111,033.34
  5. Step 5: Solve for x
    x = 111,033.34/411.14
  6. Step 6: Final answer
    x = 270.06

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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.