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Finding the Fourth Proportional to 626.65, 940.04 and 193.84

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Solution

The fourth proportional to 626.65, 940.04 and 193.84 is: 290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.65 : 940.04 = 193.84 : x
  2. Step 2: Convert to fraction form
    626.65/940.04 = 193.84/x
  3. Step 3: Cross multiply
    626.65x = 940.04 × 193.84
  4. Step 4: Simplify right side
    626.65x = 182,217.35
  5. Step 5: Solve for x
    x = 182,217.35/626.65
  6. Step 6: Final answer
    x = 290.78

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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.