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Finding the Fourth Proportional to 376.85, 520.21 and 229.53

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Solution

The fourth proportional to 376.85, 520.21 and 229.53 is: 316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.85 : 520.21 = 229.53 : x
  2. Step 2: Convert to fraction form
    376.85/520.21 = 229.53/x
  3. Step 3: Cross multiply
    376.85x = 520.21 × 229.53
  4. Step 4: Simplify right side
    376.85x = 119,403.80
  5. Step 5: Solve for x
    x = 119,403.80/376.85
  6. Step 6: Final answer
    x = 316.85

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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.