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Finding the Fourth Proportional to 382.62, 528.06 and 216.84

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Solution

The fourth proportional to 382.62, 528.06 and 216.84 is: 299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.62 : 528.06 = 216.84 : x
  2. Step 2: Convert to fraction form
    382.62/528.06 = 216.84/x
  3. Step 3: Cross multiply
    382.62x = 528.06 × 216.84
  4. Step 4: Simplify right side
    382.62x = 114,504.53
  5. Step 5: Solve for x
    x = 114,504.53/382.62
  6. Step 6: Final answer
    x = 299.26

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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.