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Finding the Fourth Proportional to 313.94, 471.09 and 270.74

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Solution

The fourth proportional to 313.94, 471.09 and 270.74 is: 406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.94 : 471.09 = 270.74 : x
  2. Step 2: Convert to fraction form
    313.94/471.09 = 270.74/x
  3. Step 3: Cross multiply
    313.94x = 471.09 × 270.74
  4. Step 4: Simplify right side
    313.94x = 127,542.91
  5. Step 5: Solve for x
    x = 127,542.91/313.94
  6. Step 6: Final answer
    x = 406.27

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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.