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Finding the Fourth Proportional to 605.89, 908.29 and 276.49

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Solution

The fourth proportional to 605.89, 908.29 and 276.49 is: 414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.89 : 908.29 = 276.49 : x
  2. Step 2: Convert to fraction form
    605.89/908.29 = 276.49/x
  3. Step 3: Cross multiply
    605.89x = 908.29 × 276.49
  4. Step 4: Simplify right side
    605.89x = 251,133.10
  5. Step 5: Solve for x
    x = 251,133.10/605.89
  6. Step 6: Final answer
    x = 414.49

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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.