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Finding the Fourth Proportional to 382.62, 528.00 and 216.83

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Solution

The fourth proportional to 382.62, 528.00 and 216.83 is: 299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.62 : 528.00 = 216.83 : x
  2. Step 2: Convert to fraction form
    382.62/528.00 = 216.83/x
  3. Step 3: Cross multiply
    382.62x = 528.00 × 216.83
  4. Step 4: Simplify right side
    382.62x = 114,485.00
  5. Step 5: Solve for x
    x = 114,485.00/382.62
  6. Step 6: Final answer
    x = 299.22

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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.