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Finding the Fourth Proportional to 557.28, 768.96 and 382.68

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Solution

The fourth proportional to 557.28, 768.96 and 382.68 is: 528.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.28 : 768.96 = 382.68 : x
  2. Step 2: Convert to fraction form
    557.28/768.96 = 382.68/x
  3. Step 3: Cross multiply
    557.28x = 768.96 × 382.68
  4. Step 4: Simplify right side
    557.28x = 294,265.61
  5. Step 5: Solve for x
    x = 294,265.61/557.28
  6. Step 6: Final answer
    x = 528.04

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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.