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Finding the Fourth Proportional to 376.96, 519.14 and 293.92

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Solution

The fourth proportional to 376.96, 519.14 and 293.92 is: 404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.96 : 519.14 = 293.92 : x
  2. Step 2: Convert to fraction form
    376.96/519.14 = 293.92/x
  3. Step 3: Cross multiply
    376.96x = 519.14 × 293.92
  4. Step 4: Simplify right side
    376.96x = 152,585.63
  5. Step 5: Solve for x
    x = 152,585.63/376.96
  6. Step 6: Final answer
    x = 404.78

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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.