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Finding the Fourth Proportional to 423.53, 635.36 and 180.05

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Solution

The fourth proportional to 423.53, 635.36 and 180.05 is: 270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.53 : 635.36 = 180.05 : x
  2. Step 2: Convert to fraction form
    423.53/635.36 = 180.05/x
  3. Step 3: Cross multiply
    423.53x = 635.36 × 180.05
  4. Step 4: Simplify right side
    423.53x = 114,396.57
  5. Step 5: Solve for x
    x = 114,396.57/423.53
  6. Step 6: Final answer
    x = 270.10

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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.