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Finding the Fourth Proportional to 412.30, 618.56 and 206.81

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Solution

The fourth proportional to 412.30, 618.56 and 206.81 is: 310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.30 : 618.56 = 206.81 : x
  2. Step 2: Convert to fraction form
    412.30/618.56 = 206.81/x
  3. Step 3: Cross multiply
    412.30x = 618.56 × 206.81
  4. Step 4: Simplify right side
    412.30x = 127,924.39
  5. Step 5: Solve for x
    x = 127,924.39/412.30
  6. Step 6: Final answer
    x = 310.27

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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.