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Finding the Fourth Proportional to 379.55, 523.75 and 213.78

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Solution

The fourth proportional to 379.55, 523.75 and 213.78 is: 295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.55 : 523.75 = 213.78 : x
  2. Step 2: Convert to fraction form
    379.55/523.75 = 213.78/x
  3. Step 3: Cross multiply
    379.55x = 523.75 × 213.78
  4. Step 4: Simplify right side
    379.55x = 111,967.28
  5. Step 5: Solve for x
    x = 111,967.28/379.55
  6. Step 6: Final answer
    x = 295.00

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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.