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Finding the Fourth Proportional to 685.63, 1,028.40 and 295.62

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Solution

The fourth proportional to 685.63, 1,028.40 and 295.62 is: 443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.63 : 1,028.40 = 295.62 : x
  2. Step 2: Convert to fraction form
    685.63/1,028.40 = 295.62/x
  3. Step 3: Cross multiply
    685.63x = 1,028.40 × 295.62
  4. Step 4: Simplify right side
    685.63x = 304,015.61
  5. Step 5: Solve for x
    x = 304,015.61/685.63
  6. Step 6: Final answer
    x = 443.41

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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.