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Finding the Fourth Proportional to 490.01, 676.49 and 303.57

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Solution

The fourth proportional to 490.01, 676.49 and 303.57 is: 419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.01 : 676.49 = 303.57 : x
  2. Step 2: Convert to fraction form
    490.01/676.49 = 303.57/x
  3. Step 3: Cross multiply
    490.01x = 676.49 × 303.57
  4. Step 4: Simplify right side
    490.01x = 205,360.55
  5. Step 5: Solve for x
    x = 205,360.55/490.01
  6. Step 6: Final answer
    x = 419.10

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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.