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Finding the Fourth Proportional to 626.46, 939.09 and 464.46

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Solution

The fourth proportional to 626.46, 939.09 and 464.46 is: 696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.46 : 939.09 = 464.46 : x
  2. Step 2: Convert to fraction form
    626.46/939.09 = 464.46/x
  3. Step 3: Cross multiply
    626.46x = 939.09 × 464.46
  4. Step 4: Simplify right side
    626.46x = 436,169.74
  5. Step 5: Solve for x
    x = 436,169.74/626.46
  6. Step 6: Final answer
    x = 696.25

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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.