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Finding the Fourth Proportional to 465.74, 642.82 and 269.26

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Solution

The fourth proportional to 465.74, 642.82 and 269.26 is: 371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.74 : 642.82 = 269.26 : x
  2. Step 2: Convert to fraction form
    465.74/642.82 = 269.26/x
  3. Step 3: Cross multiply
    465.74x = 642.82 × 269.26
  4. Step 4: Simplify right side
    465.74x = 173,085.71
  5. Step 5: Solve for x
    x = 173,085.71/465.74
  6. Step 6: Final answer
    x = 371.64

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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.