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Finding the Fourth Proportional to 394.94, 591.80 and 212.09

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Solution

The fourth proportional to 394.94, 591.80 and 212.09 is: 317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.94 : 591.80 = 212.09 : x
  2. Step 2: Convert to fraction form
    394.94/591.80 = 212.09/x
  3. Step 3: Cross multiply
    394.94x = 591.80 × 212.09
  4. Step 4: Simplify right side
    394.94x = 125,510.84
  5. Step 5: Solve for x
    x = 125,510.84/394.94
  6. Step 6: Final answer
    x = 317.80

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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.