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Finding the Fourth Proportional to 490.94, 677.50 and 281.11

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Solution

The fourth proportional to 490.94, 677.50 and 281.11 is: 387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.94 : 677.50 = 281.11 : x
  2. Step 2: Convert to fraction form
    490.94/677.50 = 281.11/x
  3. Step 3: Cross multiply
    490.94x = 677.50 × 281.11
  4. Step 4: Simplify right side
    490.94x = 190,449.63
  5. Step 5: Solve for x
    x = 190,449.63/490.94
  6. Step 6: Final answer
    x = 387.93

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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.