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Finding the Fourth Proportional to 764, 1,146 and 331.20

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Solution

The fourth proportional to 764, 1,146 and 331.20 is: 496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    764 : 1,146 = 331.20 : x
  2. Step 2: Convert to fraction form
    764/1,146 = 331.20/x
  3. Step 3: Cross multiply
    764x = 1,146 × 331.20
  4. Step 4: Simplify right side
    764x = 379,555.20
  5. Step 5: Solve for x
    x = 379,555.20/764
  6. Step 6: Final answer
    x = 496.80

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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.