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Finding the Fourth Proportional to 605.68, 908.67 and 259.06

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Solution

The fourth proportional to 605.68, 908.67 and 259.06 is: 388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.68 : 908.67 = 259.06 : x
  2. Step 2: Convert to fraction form
    605.68/908.67 = 259.06/x
  3. Step 3: Cross multiply
    605.68x = 908.67 × 259.06
  4. Step 4: Simplify right side
    605.68x = 235,400.05
  5. Step 5: Solve for x
    x = 235,400.05/605.68
  6. Step 6: Final answer
    x = 388.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.