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Finding the Fourth Proportional to 626.94, 940.84 and 382.72

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Solution

The fourth proportional to 626.94, 940.84 and 382.72 is: 574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.94 : 940.84 = 382.72 : x
  2. Step 2: Convert to fraction form
    626.94/940.84 = 382.72/x
  3. Step 3: Cross multiply
    626.94x = 940.84 × 382.72
  4. Step 4: Simplify right side
    626.94x = 360,078.28
  5. Step 5: Solve for x
    x = 360,078.28/626.94
  6. Step 6: Final answer
    x = 574.34

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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.