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Finding the Fourth Proportional to 394.49, 591.93 and 189.02

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Solution

The fourth proportional to 394.49, 591.93 and 189.02 is: 283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.49 : 591.93 = 189.02 : x
  2. Step 2: Convert to fraction form
    394.49/591.93 = 189.02/x
  3. Step 3: Cross multiply
    394.49x = 591.93 × 189.02
  4. Step 4: Simplify right side
    394.49x = 111,883.65
  5. Step 5: Solve for x
    x = 111,883.65/394.49
  6. Step 6: Final answer
    x = 283.62

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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.