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Finding the Fourth Proportional to 465.91, 643.02 and 269.44

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Solution

The fourth proportional to 465.91, 643.02 and 269.44 is: 371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.91 : 643.02 = 269.44 : x
  2. Step 2: Convert to fraction form
    465.91/643.02 = 269.44/x
  3. Step 3: Cross multiply
    465.91x = 643.02 × 269.44
  4. Step 4: Simplify right side
    465.91x = 173,252.09
  5. Step 5: Solve for x
    x = 173,252.09/465.91
  6. Step 6: Final answer
    x = 371.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.