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Finding the Fourth Proportional to 655.95, 984.42 and 331.14

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Solution

The fourth proportional to 655.95, 984.42 and 331.14 is: 496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.95 : 984.42 = 331.14 : x
  2. Step 2: Convert to fraction form
    655.95/984.42 = 331.14/x
  3. Step 3: Cross multiply
    655.95x = 984.42 × 331.14
  4. Step 4: Simplify right side
    655.95x = 325,980.84
  5. Step 5: Solve for x
    x = 325,980.84/655.95
  6. Step 6: Final answer
    x = 496.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.