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Finding the Fourth Proportional to 490.60, 676.30 and 359.40

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Solution

The fourth proportional to 490.60, 676.30 and 359.40 is: 495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.60 : 676.30 = 359.40 : x
  2. Step 2: Convert to fraction form
    490.60/676.30 = 359.40/x
  3. Step 3: Cross multiply
    490.60x = 676.30 × 359.40
  4. Step 4: Simplify right side
    490.60x = 243,062.22
  5. Step 5: Solve for x
    x = 243,062.22/490.60
  6. Step 6: Final answer
    x = 495.44

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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.