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Finding the Fourth Proportional to 622.84, 934.34 and 189.96

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Solution

The fourth proportional to 622.84, 934.34 and 189.96 is: 284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.84 : 934.34 = 189.96 : x
  2. Step 2: Convert to fraction form
    622.84/934.34 = 189.96/x
  3. Step 3: Cross multiply
    622.84x = 934.34 × 189.96
  4. Step 4: Simplify right side
    622.84x = 177,487.23
  5. Step 5: Solve for x
    x = 177,487.23/622.84
  6. Step 6: Final answer
    x = 284.96

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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.