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Finding the Fourth Proportional to 394.19, 543.61 and 268.01

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Solution

The fourth proportional to 394.19, 543.61 and 268.01 is: 369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.19 : 543.61 = 268.01 : x
  2. Step 2: Convert to fraction form
    394.19/543.61 = 268.01/x
  3. Step 3: Cross multiply
    394.19x = 543.61 × 268.01
  4. Step 4: Simplify right side
    394.19x = 145,692.92
  5. Step 5: Solve for x
    x = 145,692.92/394.19
  6. Step 6: Final answer
    x = 369.60

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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.