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Finding the Fourth Proportional to 376.56, 564.84 and 279.18

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Solution

The fourth proportional to 376.56, 564.84 and 279.18 is: 418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.56 : 564.84 = 279.18 : x
  2. Step 2: Convert to fraction form
    376.56/564.84 = 279.18/x
  3. Step 3: Cross multiply
    376.56x = 564.84 × 279.18
  4. Step 4: Simplify right side
    376.56x = 157,692.03
  5. Step 5: Solve for x
    x = 157,692.03/376.56
  6. Step 6: Final answer
    x = 418.77

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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.