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Finding the Fourth Proportional to 394.63, 592.11 and 189.20

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Solution

The fourth proportional to 394.63, 592.11 and 189.20 is: 283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.63 : 592.11 = 189.20 : x
  2. Step 2: Convert to fraction form
    394.63/592.11 = 189.20/x
  3. Step 3: Cross multiply
    394.63x = 592.11 × 189.20
  4. Step 4: Simplify right side
    394.63x = 112,028.69
  5. Step 5: Solve for x
    x = 112,028.69/394.63
  6. Step 6: Final answer
    x = 283.88

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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.