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Finding the Fourth Proportional to 605.78, 908.45 and 259.15

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Solution

The fourth proportional to 605.78, 908.45 and 259.15 is: 388.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.78 : 908.45 = 259.15 : x
  2. Step 2: Convert to fraction form
    605.78/908.45 = 259.15/x
  3. Step 3: Cross multiply
    605.78x = 908.45 × 259.15
  4. Step 4: Simplify right side
    605.78x = 235,426.48
  5. Step 5: Solve for x
    x = 235,426.48/605.78
  6. Step 6: Final answer
    x = 388.63

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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.