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Finding the Fourth Proportional to 382.19, 527.42 and 216.41

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Solution

The fourth proportional to 382.19, 527.42 and 216.41 is: 298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.19 : 527.42 = 216.41 : x
  2. Step 2: Convert to fraction form
    382.19/527.42 = 216.41/x
  3. Step 3: Cross multiply
    382.19x = 527.42 × 216.41
  4. Step 4: Simplify right side
    382.19x = 114,136.87
  5. Step 5: Solve for x
    x = 114,136.87/382.19
  6. Step 6: Final answer
    x = 298.64

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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.