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Finding the Fourth Proportional to 327.92, 489.36 and 276.08

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Solution

The fourth proportional to 327.92, 489.36 and 276.08 is: 412.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.92 : 489.36 = 276.08 : x
  2. Step 2: Convert to fraction form
    327.92/489.36 = 276.08/x
  3. Step 3: Cross multiply
    327.92x = 489.36 × 276.08
  4. Step 4: Simplify right side
    327.92x = 135,102.51
  5. Step 5: Solve for x
    x = 135,102.51/327.92
  6. Step 6: Final answer
    x = 412.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.