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Finding the Fourth Proportional to 685.28, 1,028.10 and 360.56

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Solution

The fourth proportional to 685.28, 1,028.10 and 360.56 is: 540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.28 : 1,028.10 = 360.56 : x
  2. Step 2: Convert to fraction form
    685.28/1,028.10 = 360.56/x
  3. Step 3: Cross multiply
    685.28x = 1,028.10 × 360.56
  4. Step 4: Simplify right side
    685.28x = 370,691.74
  5. Step 5: Solve for x
    x = 370,691.74/685.28
  6. Step 6: Final answer
    x = 540.93

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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.