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Finding the Fourth Proportional to 465.75, 642.63 and 269.19

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Solution

The fourth proportional to 465.75, 642.63 and 269.19 is: 371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.75 : 642.63 = 269.19 : x
  2. Step 2: Convert to fraction form
    465.75/642.63 = 269.19/x
  3. Step 3: Cross multiply
    465.75x = 642.63 × 269.19
  4. Step 4: Simplify right side
    465.75x = 172,989.57
  5. Step 5: Solve for x
    x = 172,989.57/465.75
  6. Step 6: Final answer
    x = 371.42

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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.