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Finding the Fourth Proportional to 384.56, 576.38 and 252.84

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Solution

The fourth proportional to 384.56, 576.38 and 252.84 is: 378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.56 : 576.38 = 252.84 : x
  2. Step 2: Convert to fraction form
    384.56/576.38 = 252.84/x
  3. Step 3: Cross multiply
    384.56x = 576.38 × 252.84
  4. Step 4: Simplify right side
    384.56x = 145,730.66
  5. Step 5: Solve for x
    x = 145,730.66/384.56
  6. Step 6: Final answer
    x = 378.96

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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.