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Finding the Fourth Proportional to 382.92, 528.39 and 217.10

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Solution

The fourth proportional to 382.92, 528.39 and 217.10 is: 299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.92 : 528.39 = 217.10 : x
  2. Step 2: Convert to fraction form
    382.92/528.39 = 217.10/x
  3. Step 3: Cross multiply
    382.92x = 528.39 × 217.10
  4. Step 4: Simplify right side
    382.92x = 114,715.60
  5. Step 5: Solve for x
    x = 114,715.60/382.92
  6. Step 6: Final answer
    x = 299.58

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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.