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Finding the Fourth Proportional to 465.77, 642.71 and 269.27

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Solution

The fourth proportional to 465.77, 642.71 and 269.27 is: 371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.77 : 642.71 = 269.27 : x
  2. Step 2: Convert to fraction form
    465.77/642.71 = 269.27/x
  3. Step 3: Cross multiply
    465.77x = 642.71 × 269.27
  4. Step 4: Simplify right side
    465.77x = 173,059.31
  5. Step 5: Solve for x
    x = 173,059.31/465.77
  6. Step 6: Final answer
    x = 371.56

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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.