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Finding the Fourth Proportional to 331.56, 496.62 and 276.84

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Solution

The fourth proportional to 331.56, 496.62 and 276.84 is: 414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.56 : 496.62 = 276.84 : x
  2. Step 2: Convert to fraction form
    331.56/496.62 = 276.84/x
  3. Step 3: Cross multiply
    331.56x = 496.62 × 276.84
  4. Step 4: Simplify right side
    331.56x = 137,484.28
  5. Step 5: Solve for x
    x = 137,484.28/331.56
  6. Step 6: Final answer
    x = 414.66

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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.