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Finding the Fourth Proportional to 605.90, 908.69 and 293.24

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Solution

The fourth proportional to 605.90, 908.69 and 293.24 is: 439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.90 : 908.69 = 293.24 : x
  2. Step 2: Convert to fraction form
    605.90/908.69 = 293.24/x
  3. Step 3: Cross multiply
    605.90x = 908.69 × 293.24
  4. Step 4: Simplify right side
    605.90x = 266,458.25
  5. Step 5: Solve for x
    x = 266,458.25/605.90
  6. Step 6: Final answer
    x = 439.78

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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.