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Finding the Fourth Proportional to 613.68, 919.43 and 420.36

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Solution

The fourth proportional to 613.68, 919.43 and 420.36 is: 629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.68 : 919.43 = 420.36 : x
  2. Step 2: Convert to fraction form
    613.68/919.43 = 420.36/x
  3. Step 3: Cross multiply
    613.68x = 919.43 × 420.36
  4. Step 4: Simplify right side
    613.68x = 386,491.59
  5. Step 5: Solve for x
    x = 386,491.59/613.68
  6. Step 6: Final answer
    x = 629.79

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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.