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Finding the Fourth Proportional to 626.20, 939.75 and 464.30

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Solution

The fourth proportional to 626.20, 939.75 and 464.30 is: 696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.20 : 939.75 = 464.30 : x
  2. Step 2: Convert to fraction form
    626.20/939.75 = 464.30/x
  3. Step 3: Cross multiply
    626.20x = 939.75 × 464.30
  4. Step 4: Simplify right side
    626.20x = 436,325.62
  5. Step 5: Solve for x
    x = 436,325.62/626.20
  6. Step 6: Final answer
    x = 696.79

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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.