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Finding the Fourth Proportional to 411.59, 617.67 and 180.36

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Solution

The fourth proportional to 411.59, 617.67 and 180.36 is: 270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.59 : 617.67 = 180.36 : x
  2. Step 2: Convert to fraction form
    411.59/617.67 = 180.36/x
  3. Step 3: Cross multiply
    411.59x = 617.67 × 180.36
  4. Step 4: Simplify right side
    411.59x = 111,402.96
  5. Step 5: Solve for x
    x = 111,402.96/411.59
  6. Step 6: Final answer
    x = 270.67

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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.