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Finding the Fourth Proportional to 331.04, 496.90 and 280.20

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Solution

The fourth proportional to 331.04, 496.90 and 280.20 is: 420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.04 : 496.90 = 280.20 : x
  2. Step 2: Convert to fraction form
    331.04/496.90 = 280.20/x
  3. Step 3: Cross multiply
    331.04x = 496.90 × 280.20
  4. Step 4: Simplify right side
    331.04x = 139,231.38
  5. Step 5: Solve for x
    x = 139,231.38/331.04
  6. Step 6: Final answer
    x = 420.59

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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.