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Finding the Fourth Proportional to 376.89, 564.84 and 230.19

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Solution

The fourth proportional to 376.89, 564.84 and 230.19 is: 344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.89 : 564.84 = 230.19 : x
  2. Step 2: Convert to fraction form
    376.89/564.84 = 230.19/x
  3. Step 3: Cross multiply
    376.89x = 564.84 × 230.19
  4. Step 4: Simplify right side
    376.89x = 130,020.52
  5. Step 5: Solve for x
    x = 130,020.52/376.89
  6. Step 6: Final answer
    x = 344.98

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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.