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Finding the Fourth Proportional to 490.58, 676.98 and 280.70

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Solution

The fourth proportional to 490.58, 676.98 and 280.70 is: 387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.58 : 676.98 = 280.70 : x
  2. Step 2: Convert to fraction form
    490.58/676.98 = 280.70/x
  3. Step 3: Cross multiply
    490.58x = 676.98 × 280.70
  4. Step 4: Simplify right side
    490.58x = 190,028.29
  5. Step 5: Solve for x
    x = 190,028.29/490.58
  6. Step 6: Final answer
    x = 387.35

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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.