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Finding the Fourth Proportional to 685.40, 1,028.08 and 300.64

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Solution

The fourth proportional to 685.40, 1,028.08 and 300.64 is: 450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.40 : 1,028.08 = 300.64 : x
  2. Step 2: Convert to fraction form
    685.40/1,028.08 = 300.64/x
  3. Step 3: Cross multiply
    685.40x = 1,028.08 × 300.64
  4. Step 4: Simplify right side
    685.40x = 309,081.97
  5. Step 5: Solve for x
    x = 309,081.97/685.40
  6. Step 6: Final answer
    x = 450.95

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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.