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Finding the Fourth Proportional to 605.22, 908.36 and 450.78

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Solution

The fourth proportional to 605.22, 908.36 and 450.78 is: 676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.22 : 908.36 = 450.78 : x
  2. Step 2: Convert to fraction form
    605.22/908.36 = 450.78/x
  3. Step 3: Cross multiply
    605.22x = 908.36 × 450.78
  4. Step 4: Simplify right side
    605.22x = 409,470.52
  5. Step 5: Solve for x
    x = 409,470.52/605.22
  6. Step 6: Final answer
    x = 676.56

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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.