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Finding the Fourth Proportional to 605.78, 835.46 and 495.06

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Solution

The fourth proportional to 605.78, 835.46 and 495.06 is: 682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.78 : 835.46 = 495.06 : x
  2. Step 2: Convert to fraction form
    605.78/835.46 = 495.06/x
  3. Step 3: Cross multiply
    605.78x = 835.46 × 495.06
  4. Step 4: Simplify right side
    605.78x = 413,606.56
  5. Step 5: Solve for x
    x = 413,606.56/605.78
  6. Step 6: Final answer
    x = 682.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.