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Finding the Fourth Proportional to 426.54, 640.41 and 419.25

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Solution

The fourth proportional to 426.54, 640.41 and 419.25 is: 629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.54 : 640.41 = 419.25 : x
  2. Step 2: Convert to fraction form
    426.54/640.41 = 419.25/x
  3. Step 3: Cross multiply
    426.54x = 640.41 × 419.25
  4. Step 4: Simplify right side
    426.54x = 268,491.89
  5. Step 5: Solve for x
    x = 268,491.89/426.54
  6. Step 6: Final answer
    x = 629.46

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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.