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Finding the Fourth Proportional to 326.52, 490.32 and 268.74

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Solution

The fourth proportional to 326.52, 490.32 and 268.74 is: 403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.52 : 490.32 = 268.74 : x
  2. Step 2: Convert to fraction form
    326.52/490.32 = 268.74/x
  3. Step 3: Cross multiply
    326.52x = 490.32 × 268.74
  4. Step 4: Simplify right side
    326.52x = 131,768.60
  5. Step 5: Solve for x
    x = 131,768.60/326.52
  6. Step 6: Final answer
    x = 403.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.