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Finding the Fourth Proportional to 490.86, 677.42 and 278.23

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Solution

The fourth proportional to 490.86, 677.42 and 278.23 is: 383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.86 : 677.42 = 278.23 : x
  2. Step 2: Convert to fraction form
    490.86/677.42 = 278.23/x
  3. Step 3: Cross multiply
    490.86x = 677.42 × 278.23
  4. Step 4: Simplify right side
    490.86x = 188,478.57
  5. Step 5: Solve for x
    x = 188,478.57/490.86
  6. Step 6: Final answer
    x = 383.98

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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.