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Finding the Fourth Proportional to 626.86, 940.74 and 464.05

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Solution

The fourth proportional to 626.86, 940.74 and 464.05 is: 696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.86 : 940.74 = 464.05 : x
  2. Step 2: Convert to fraction form
    626.86/940.74 = 464.05/x
  3. Step 3: Cross multiply
    626.86x = 940.74 × 464.05
  4. Step 4: Simplify right side
    626.86x = 436,550.40
  5. Step 5: Solve for x
    x = 436,550.40/626.86
  6. Step 6: Final answer
    x = 696.41

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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.