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Finding the Fourth Proportional to 490.25, 676.85 and 342.63

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Solution

The fourth proportional to 490.25, 676.85 and 342.63 is: 473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.25 : 676.85 = 342.63 : x
  2. Step 2: Convert to fraction form
    490.25/676.85 = 342.63/x
  3. Step 3: Cross multiply
    490.25x = 676.85 × 342.63
  4. Step 4: Simplify right side
    490.25x = 231,907.40
  5. Step 5: Solve for x
    x = 231,907.40/490.25
  6. Step 6: Final answer
    x = 473.04

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