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Finding the Fourth Proportional to 382.57, 527.99 and 216.84

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Solution

The fourth proportional to 382.57, 527.99 and 216.84 is: 299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.57 : 527.99 = 216.84 : x
  2. Step 2: Convert to fraction form
    382.57/527.99 = 216.84/x
  3. Step 3: Cross multiply
    382.57x = 527.99 × 216.84
  4. Step 4: Simplify right side
    382.57x = 114,489.89
  5. Step 5: Solve for x
    x = 114,489.89/382.57
  6. Step 6: Final answer
    x = 299.27

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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.