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Finding the Fourth Proportional to 423.50, 635.46 and 180.08

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Solution

The fourth proportional to 423.50, 635.46 and 180.08 is: 270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.50 : 635.46 = 180.08 : x
  2. Step 2: Convert to fraction form
    423.50/635.46 = 180.08/x
  3. Step 3: Cross multiply
    423.50x = 635.46 × 180.08
  4. Step 4: Simplify right side
    423.50x = 114,433.64
  5. Step 5: Solve for x
    x = 114,433.64/423.50
  6. Step 6: Final answer
    x = 270.21

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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.