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Finding the Fourth Proportional to 490.46, 675.44 and 488.94

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Solution

The fourth proportional to 490.46, 675.44 and 488.94 is: 673.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.46 : 675.44 = 488.94 : x
  2. Step 2: Convert to fraction form
    490.46/675.44 = 488.94/x
  3. Step 3: Cross multiply
    490.46x = 675.44 × 488.94
  4. Step 4: Simplify right side
    490.46x = 330,246.49
  5. Step 5: Solve for x
    x = 330,246.49/490.46
  6. Step 6: Final answer
    x = 673.35

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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.