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Finding the Fourth Proportional to 605.73, 908.87 and 259.02

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Solution

The fourth proportional to 605.73, 908.87 and 259.02 is: 388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.73 : 908.87 = 259.02 : x
  2. Step 2: Convert to fraction form
    605.73/908.87 = 259.02/x
  3. Step 3: Cross multiply
    605.73x = 908.87 × 259.02
  4. Step 4: Simplify right side
    605.73x = 235,415.51
  5. Step 5: Solve for x
    x = 235,415.51/605.73
  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.