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Finding the Fourth Proportional to 382.72, 528.10 and 216.96

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Solution

The fourth proportional to 382.72, 528.10 and 216.96 is: 299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.72 : 528.10 = 216.96 : x
  2. Step 2: Convert to fraction form
    382.72/528.10 = 216.96/x
  3. Step 3: Cross multiply
    382.72x = 528.10 × 216.96
  4. Step 4: Simplify right side
    382.72x = 114,576.58
  5. Step 5: Solve for x
    x = 114,576.58/382.72
  6. Step 6: Final answer
    x = 299.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.