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Finding the Fourth Proportional to 423.24, 635.93 and 269.24

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Solution

The fourth proportional to 423.24, 635.93 and 269.24 is: 404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.24 : 635.93 = 269.24 : x
  2. Step 2: Convert to fraction form
    423.24/635.93 = 269.24/x
  3. Step 3: Cross multiply
    423.24x = 635.93 × 269.24
  4. Step 4: Simplify right side
    423.24x = 171,213.27
  5. Step 5: Solve for x
    x = 171,213.27/423.24
  6. Step 6: Final answer
    x = 404.53

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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.