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Finding the Fourth Proportional to 376.20, 520.02 and 345.96

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Solution

The fourth proportional to 376.20, 520.02 and 345.96 is: 478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.20 : 520.02 = 345.96 : x
  2. Step 2: Convert to fraction form
    376.20/520.02 = 345.96/x
  3. Step 3: Cross multiply
    376.20x = 520.02 × 345.96
  4. Step 4: Simplify right side
    376.20x = 179,906.12
  5. Step 5: Solve for x
    x = 179,906.12/376.20
  6. Step 6: Final answer
    x = 478.22

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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.