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Finding the Fourth Proportional to 626.85, 937.80 and 420.42

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Solution

The fourth proportional to 626.85, 937.80 and 420.42 is: 628.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.85 : 937.80 = 420.42 : x
  2. Step 2: Convert to fraction form
    626.85/937.80 = 420.42/x
  3. Step 3: Cross multiply
    626.85x = 937.80 × 420.42
  4. Step 4: Simplify right side
    626.85x = 394,269.88
  5. Step 5: Solve for x
    x = 394,269.88/626.85
  6. Step 6: Final answer
    x = 628.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.