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Finding the Fourth Proportional to 490.10, 675.58 and 349.97

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Solution

The fourth proportional to 490.10, 675.58 and 349.97 is: 482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.10 : 675.58 = 349.97 : x
  2. Step 2: Convert to fraction form
    490.10/675.58 = 349.97/x
  3. Step 3: Cross multiply
    490.10x = 675.58 × 349.97
  4. Step 4: Simplify right side
    490.10x = 236,431.04
  5. Step 5: Solve for x
    x = 236,431.04/490.10
  6. Step 6: Final answer
    x = 482.42

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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.