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Finding the Fourth Proportional to 796.50, 1,194.74 and 309.55

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Solution

The fourth proportional to 796.50, 1,194.74 and 309.55 is: 464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.50 : 1,194.74 = 309.55 : x
  2. Step 2: Convert to fraction form
    796.50/1,194.74 = 309.55/x
  3. Step 3: Cross multiply
    796.50x = 1,194.74 × 309.55
  4. Step 4: Simplify right side
    796.50x = 369,831.77
  5. Step 5: Solve for x
    x = 369,831.77/796.50
  6. Step 6: Final answer
    x = 464.32

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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.