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Finding the Fourth Proportional to 490.85, 677.25 and 281.00

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Solution

The fourth proportional to 490.85, 677.25 and 281.00 is: 387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.85 : 677.25 = 281.00 : x
  2. Step 2: Convert to fraction form
    490.85/677.25 = 281.00/x
  3. Step 3: Cross multiply
    490.85x = 677.25 × 281.00
  4. Step 4: Simplify right side
    490.85x = 190,303.86
  5. Step 5: Solve for x
    x = 190,303.86/490.85
  6. Step 6: Final answer
    x = 387.71

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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.