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Finding the Fourth Proportional to 327.37, 451.78 and 257.30

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Solution

The fourth proportional to 327.37, 451.78 and 257.30 is: 355.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.37 : 451.78 = 257.30 : x
  2. Step 2: Convert to fraction form
    327.37/451.78 = 257.30/x
  3. Step 3: Cross multiply
    327.37x = 451.78 × 257.30
  4. Step 4: Simplify right side
    327.37x = 116,243.06
  5. Step 5: Solve for x
    x = 116,243.06/327.37
  6. Step 6: Final answer
    x = 355.08

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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.