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Finding the Fourth Proportional to 382.56, 573.12 and 284.88

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Solution

The fourth proportional to 382.56, 573.12 and 284.88 is: 426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.56 : 573.12 = 284.88 : x
  2. Step 2: Convert to fraction form
    382.56/573.12 = 284.88/x
  3. Step 3: Cross multiply
    382.56x = 573.12 × 284.88
  4. Step 4: Simplify right side
    382.56x = 163,270.43
  5. Step 5: Solve for x
    x = 163,270.43/382.56
  6. Step 6: Final answer
    x = 426.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.