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Finding the Fourth Proportional to 490.05, 676.03 and 357.06

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Solution

The fourth proportional to 490.05, 676.03 and 357.06 is: 492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.05 : 676.03 = 357.06 : x
  2. Step 2: Convert to fraction form
    490.05/676.03 = 357.06/x
  3. Step 3: Cross multiply
    490.05x = 676.03 × 357.06
  4. Step 4: Simplify right side
    490.05x = 241,382.33
  5. Step 5: Solve for x
    x = 241,382.33/490.05
  6. Step 6: Final answer
    x = 492.57

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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.