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Finding the Fourth Proportional to 382.53, 527.84 and 216.71

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Solution

The fourth proportional to 382.53, 527.84 and 216.71 is: 299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.53 : 527.84 = 216.71 : x
  2. Step 2: Convert to fraction form
    382.53/527.84 = 216.71/x
  3. Step 3: Cross multiply
    382.53x = 527.84 × 216.71
  4. Step 4: Simplify right side
    382.53x = 114,388.21
  5. Step 5: Solve for x
    x = 114,388.21/382.53
  6. Step 6: Final answer
    x = 299.03

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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.