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Finding the Fourth Proportional to 605.40, 908.10 and 419.10

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Solution

The fourth proportional to 605.40, 908.10 and 419.10 is: 628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.40 : 908.10 = 419.10 : x
  2. Step 2: Convert to fraction form
    605.40/908.10 = 419.10/x
  3. Step 3: Cross multiply
    605.40x = 908.10 × 419.10
  4. Step 4: Simplify right side
    605.40x = 380,584.71
  5. Step 5: Solve for x
    x = 380,584.71/605.40
  6. Step 6: Final answer
    x = 628.65

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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.