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Finding the Fourth Proportional to 605.96, 908.94 and 259.40

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Solution

The fourth proportional to 605.96, 908.94 and 259.40 is: 389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.96 : 908.94 = 259.40 : x
  2. Step 2: Convert to fraction form
    605.96/908.94 = 259.40/x
  3. Step 3: Cross multiply
    605.96x = 908.94 × 259.40
  4. Step 4: Simplify right side
    605.96x = 235,779.04
  5. Step 5: Solve for x
    x = 235,779.04/605.96
  6. Step 6: Final answer
    x = 389.10

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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.