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Finding the Fourth Proportional to 376.85, 519.11 and 314.66

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Solution

The fourth proportional to 376.85, 519.11 and 314.66 is: 433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.85 : 519.11 = 314.66 : x
  2. Step 2: Convert to fraction form
    376.85/519.11 = 314.66/x
  3. Step 3: Cross multiply
    376.85x = 519.11 × 314.66
  4. Step 4: Simplify right side
    376.85x = 163,338.98
  5. Step 5: Solve for x
    x = 163,338.98/376.85
  6. Step 6: Final answer
    x = 433.44

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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.