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Finding the Fourth Proportional to 423.57, 635.21 and 180.03

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Solution

The fourth proportional to 423.57, 635.21 and 180.03 is: 269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.57 : 635.21 = 180.03 : x
  2. Step 2: Convert to fraction form
    423.57/635.21 = 180.03/x
  3. Step 3: Cross multiply
    423.57x = 635.21 × 180.03
  4. Step 4: Simplify right side
    423.57x = 114,356.86
  5. Step 5: Solve for x
    x = 114,356.86/423.57
  6. Step 6: Final answer
    x = 269.98

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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.