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Finding the Fourth Proportional to 919.98, 1,379.77 and 270.56

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Solution

The fourth proportional to 919.98, 1,379.77 and 270.56 is: 405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.98 : 1,379.77 = 270.56 : x
  2. Step 2: Convert to fraction form
    919.98/1,379.77 = 270.56/x
  3. Step 3: Cross multiply
    919.98x = 1,379.77 × 270.56
  4. Step 4: Simplify right side
    919.98x = 373,313.34
  5. Step 5: Solve for x
    x = 373,313.34/919.98
  6. Step 6: Final answer
    x = 405.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.