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Finding the Fourth Proportional to 394.98, 589.61 and 377.22

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Solution

The fourth proportional to 394.98, 589.61 and 377.22 is: 563.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.98 : 589.61 = 377.22 : x
  2. Step 2: Convert to fraction form
    394.98/589.61 = 377.22/x
  3. Step 3: Cross multiply
    394.98x = 589.61 × 377.22
  4. Step 4: Simplify right side
    394.98x = 222,415.84
  5. Step 5: Solve for x
    x = 222,415.84/394.98
  6. Step 6: Final answer
    x = 563.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.