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Finding the Fourth Proportional to 423.77, 635.81 and 180.27

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Solution

The fourth proportional to 423.77, 635.81 and 180.27 is: 270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.77 : 635.81 = 180.27 : x
  2. Step 2: Convert to fraction form
    423.77/635.81 = 180.27/x
  3. Step 3: Cross multiply
    423.77x = 635.81 × 180.27
  4. Step 4: Simplify right side
    423.77x = 114,616.57
  5. Step 5: Solve for x
    x = 114,616.57/423.77
  6. Step 6: Final answer
    x = 270.47

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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.