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Finding the Fourth Proportional to 423.87, 635.97 and 180.40

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Solution

The fourth proportional to 423.87, 635.97 and 180.40 is: 270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.87 : 635.97 = 180.40 : x
  2. Step 2: Convert to fraction form
    423.87/635.97 = 180.40/x
  3. Step 3: Cross multiply
    423.87x = 635.97 × 180.40
  4. Step 4: Simplify right side
    423.87x = 114,725.81
  5. Step 5: Solve for x
    x = 114,725.81/423.87
  6. Step 6: Final answer
    x = 270.66

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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.