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Finding the Fourth Proportional to 312.28, 467.56 and 214.57

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Solution

The fourth proportional to 312.28, 467.56 and 214.57 is: 321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.28 : 467.56 = 214.57 : x
  2. Step 2: Convert to fraction form
    312.28/467.56 = 214.57/x
  3. Step 3: Cross multiply
    312.28x = 467.56 × 214.57
  4. Step 4: Simplify right side
    312.28x = 100,323.99
  5. Step 5: Solve for x
    x = 100,323.99/312.28
  6. Step 6: Final answer
    x = 321.27

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