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Finding the Fourth Proportional to 919.66, 1,379.64 and 270.31

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Solution

The fourth proportional to 919.66, 1,379.64 and 270.31 is: 405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.66 : 1,379.64 = 270.31 : x
  2. Step 2: Convert to fraction form
    919.66/1,379.64 = 270.31/x
  3. Step 3: Cross multiply
    919.66x = 1,379.64 × 270.31
  4. Step 4: Simplify right side
    919.66x = 372,930.49
  5. Step 5: Solve for x
    x = 372,930.49/919.66
  6. Step 6: Final answer
    x = 405.51

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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.