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Finding the Fourth Proportional to 423.72, 634.97 and 269.31

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Solution

The fourth proportional to 423.72, 634.97 and 269.31 is: 403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.72 : 634.97 = 269.31 : x
  2. Step 2: Convert to fraction form
    423.72/634.97 = 269.31/x
  3. Step 3: Cross multiply
    423.72x = 634.97 × 269.31
  4. Step 4: Simplify right side
    423.72x = 171,002.42
  5. Step 5: Solve for x
    x = 171,002.42/423.72
  6. Step 6: Final answer
    x = 403.57

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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.