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Finding the Fourth Proportional to 467.49, 645.26 and 268.41

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Solution

The fourth proportional to 467.49, 645.26 and 268.41 is: 370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.49 : 645.26 = 268.41 : x
  2. Step 2: Convert to fraction form
    467.49/645.26 = 268.41/x
  3. Step 3: Cross multiply
    467.49x = 645.26 × 268.41
  4. Step 4: Simplify right side
    467.49x = 173,194.24
  5. Step 5: Solve for x
    x = 173,194.24/467.49
  6. Step 6: Final answer
    x = 370.48

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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.