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Finding the Fourth Proportional to 812.14, 1,218.38 and 256.84

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Solution

The fourth proportional to 812.14, 1,218.38 and 256.84 is: 385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.14 : 1,218.38 = 256.84 : x
  2. Step 2: Convert to fraction form
    812.14/1,218.38 = 256.84/x
  3. Step 3: Cross multiply
    812.14x = 1,218.38 × 256.84
  4. Step 4: Simplify right side
    812.14x = 312,928.72
  5. Step 5: Solve for x
    x = 312,928.72/812.14
  6. Step 6: Final answer
    x = 385.31

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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.