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Finding the Fourth Proportional to 313.56, 431.67 and 274.71

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Solution

The fourth proportional to 313.56, 431.67 and 274.71 is: 378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.56 : 431.67 = 274.71 : x
  2. Step 2: Convert to fraction form
    313.56/431.67 = 274.71/x
  3. Step 3: Cross multiply
    313.56x = 431.67 × 274.71
  4. Step 4: Simplify right side
    313.56x = 118,584.07
  5. Step 5: Solve for x
    x = 118,584.07/313.56
  6. Step 6: Final answer
    x = 378.19

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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.