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Finding the Fourth Proportional to 796.46, 1,195.00 and 309.65

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Solution

The fourth proportional to 796.46, 1,195.00 and 309.65 is: 464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.46 : 1,195.00 = 309.65 : x
  2. Step 2: Convert to fraction form
    796.46/1,195.00 = 309.65/x
  3. Step 3: Cross multiply
    796.46x = 1,195.00 × 309.65
  4. Step 4: Simplify right side
    796.46x = 370,025.00
  5. Step 5: Solve for x
    x = 370,025.00/796.46
  6. Step 6: Final answer
    x = 464.59

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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.