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Finding the Fourth Proportional to 796.16, 1,193.76 and 309.44

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Solution

The fourth proportional to 796.16, 1,193.76 and 309.44 is: 463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.16 : 1,193.76 = 309.44 : x
  2. Step 2: Convert to fraction form
    796.16/1,193.76 = 309.44/x
  3. Step 3: Cross multiply
    796.16x = 1,193.76 × 309.44
  4. Step 4: Simplify right side
    796.16x = 369,397.09
  5. Step 5: Solve for x
    x = 369,397.09/796.16
  6. Step 6: Final answer
    x = 463.97

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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.