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Finding the Fourth Proportional to 327.07, 490.50 and 305.50

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Solution

The fourth proportional to 327.07, 490.50 and 305.50 is: 458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.07 : 490.50 = 305.50 : x
  2. Step 2: Convert to fraction form
    327.07/490.50 = 305.50/x
  3. Step 3: Cross multiply
    327.07x = 490.50 × 305.50
  4. Step 4: Simplify right side
    327.07x = 149,847.75
  5. Step 5: Solve for x
    x = 149,847.75/327.07
  6. Step 6: Final answer
    x = 458.15

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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.