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Finding the Fourth Proportional to 796.30, 1,194.50 and 309.34

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Solution

The fourth proportional to 796.30, 1,194.50 and 309.34 is: 464.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.30 : 1,194.50 = 309.34 : x
  2. Step 2: Convert to fraction form
    796.30/1,194.50 = 309.34/x
  3. Step 3: Cross multiply
    796.30x = 1,194.50 × 309.34
  4. Step 4: Simplify right side
    796.30x = 369,506.63
  5. Step 5: Solve for x
    x = 369,506.63/796.30
  6. Step 6: Final answer
    x = 464.03

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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.