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Finding the Fourth Proportional to 360.24, 537.72 and 327.84

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Solution

The fourth proportional to 360.24, 537.72 and 327.84 is: 489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.24 : 537.72 = 327.84 : x
  2. Step 2: Convert to fraction form
    360.24/537.72 = 327.84/x
  3. Step 3: Cross multiply
    360.24x = 537.72 × 327.84
  4. Step 4: Simplify right side
    360.24x = 176,286.12
  5. Step 5: Solve for x
    x = 176,286.12/360.24
  6. Step 6: Final answer
    x = 489.36

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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.