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Finding the Fourth Proportional to 687.44, 949.07 and 439.14

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Solution

The fourth proportional to 687.44, 949.07 and 439.14 is: 606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.44 : 949.07 = 439.14 : x
  2. Step 2: Convert to fraction form
    687.44/949.07 = 439.14/x
  3. Step 3: Cross multiply
    687.44x = 949.07 × 439.14
  4. Step 4: Simplify right side
    687.44x = 416,772.40
  5. Step 5: Solve for x
    x = 416,772.40/687.44
  6. Step 6: Final answer
    x = 606.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.