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Finding the Fourth Proportional to 490.49, 677.10 and 304.09

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Solution

The fourth proportional to 490.49, 677.10 and 304.09 is: 419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.49 : 677.10 = 304.09 : x
  2. Step 2: Convert to fraction form
    490.49/677.10 = 304.09/x
  3. Step 3: Cross multiply
    490.49x = 677.10 × 304.09
  4. Step 4: Simplify right side
    490.49x = 205,899.34
  5. Step 5: Solve for x
    x = 205,899.34/490.49
  6. Step 6: Final answer
    x = 419.78

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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.