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Finding the Fourth Proportional to 327.24, 489.78 and 190.08

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Solution

The fourth proportional to 327.24, 489.78 and 190.08 is: 284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.24 : 489.78 = 190.08 : x
  2. Step 2: Convert to fraction form
    327.24/489.78 = 190.08/x
  3. Step 3: Cross multiply
    327.24x = 489.78 × 190.08
  4. Step 4: Simplify right side
    327.24x = 93,097.38
  5. Step 5: Solve for x
    x = 93,097.38/327.24
  6. Step 6: Final answer
    x = 284.49

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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.