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Finding the Fourth Proportional to 622.82, 934.31 and 189.92

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Solution

The fourth proportional to 622.82, 934.31 and 189.92 is: 284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.82 : 934.31 = 189.92 : x
  2. Step 2: Convert to fraction form
    622.82/934.31 = 189.92/x
  3. Step 3: Cross multiply
    622.82x = 934.31 × 189.92
  4. Step 4: Simplify right side
    622.82x = 177,439.96
  5. Step 5: Solve for x
    x = 177,439.96/622.82
  6. Step 6: Final answer
    x = 284.90

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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.