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Finding the Fourth Proportional to 382.85, 528.38 and 214.86

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Solution

The fourth proportional to 382.85, 528.38 and 214.86 is: 296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.85 : 528.38 = 214.86 : x
  2. Step 2: Convert to fraction form
    382.85/528.38 = 214.86/x
  3. Step 3: Cross multiply
    382.85x = 528.38 × 214.86
  4. Step 4: Simplify right side
    382.85x = 113,529.44
  5. Step 5: Solve for x
    x = 113,529.44/382.85
  6. Step 6: Final answer
    x = 296.54

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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.