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Finding the Fourth Proportional to 331.75, 496.27 and 280.50

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Solution

The fourth proportional to 331.75, 496.27 and 280.50 is: 419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.75 : 496.27 = 280.50 : x
  2. Step 2: Convert to fraction form
    331.75/496.27 = 280.50/x
  3. Step 3: Cross multiply
    331.75x = 496.27 × 280.50
  4. Step 4: Simplify right side
    331.75x = 139,203.74
  5. Step 5: Solve for x
    x = 139,203.74/331.75
  6. Step 6: Final answer
    x = 419.60

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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.