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Finding the Fourth Proportional to 680.07, 939.09 and 444.06

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Solution

The fourth proportional to 680.07, 939.09 and 444.06 is: 613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.07 : 939.09 = 444.06 : x
  2. Step 2: Convert to fraction form
    680.07/939.09 = 444.06/x
  3. Step 3: Cross multiply
    680.07x = 939.09 × 444.06
  4. Step 4: Simplify right side
    680.07x = 417,012.31
  5. Step 5: Solve for x
    x = 417,012.31/680.07
  6. Step 6: Final answer
    x = 613.19

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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.