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Finding the Fourth Proportional to 325.16, 446.33 and 287.49

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Solution

The fourth proportional to 325.16, 446.33 and 287.49 is: 394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.16 : 446.33 = 287.49 : x
  2. Step 2: Convert to fraction form
    325.16/446.33 = 287.49/x
  3. Step 3: Cross multiply
    325.16x = 446.33 × 287.49
  4. Step 4: Simplify right side
    325.16x = 128,313.97
  5. Step 5: Solve for x
    x = 128,313.97/325.16
  6. Step 6: Final answer
    x = 394.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.