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Finding the Fourth Proportional to 490.95, 735.08 and 382.95

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Solution

The fourth proportional to 490.95, 735.08 and 382.95 is: 573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.95 : 735.08 = 382.95 : x
  2. Step 2: Convert to fraction form
    490.95/735.08 = 382.95/x
  3. Step 3: Cross multiply
    490.95x = 735.08 × 382.95
  4. Step 4: Simplify right side
    490.95x = 281,496.97
  5. Step 5: Solve for x
    x = 281,496.97/490.95
  6. Step 6: Final answer
    x = 573.37

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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.