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Finding the Fourth Proportional to 490.53, 676.93 and 280.69

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Solution

The fourth proportional to 490.53, 676.93 and 280.69 is: 387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.53 : 676.93 = 280.69 : x
  2. Step 2: Convert to fraction form
    490.53/676.93 = 280.69/x
  3. Step 3: Cross multiply
    490.53x = 676.93 × 280.69
  4. Step 4: Simplify right side
    490.53x = 190,008.31
  5. Step 5: Solve for x
    x = 190,008.31/490.53
  6. Step 6: Final answer
    x = 387.35

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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.