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Finding the Fourth Proportional to 376.48, 519.24 and 228.96

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Solution

The fourth proportional to 376.48, 519.24 and 228.96 is: 315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.48 : 519.24 = 228.96 : x
  2. Step 2: Convert to fraction form
    376.48/519.24 = 228.96/x
  3. Step 3: Cross multiply
    376.48x = 519.24 × 228.96
  4. Step 4: Simplify right side
    376.48x = 118,886.05
  5. Step 5: Solve for x
    x = 118,886.05/376.48
  6. Step 6: Final answer
    x = 315.78

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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.