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Finding the Fourth Proportional to 393.50, 543.06 and 227.78

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Solution

The fourth proportional to 393.50, 543.06 and 227.78 is: 314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.50 : 543.06 = 227.78 : x
  2. Step 2: Convert to fraction form
    393.50/543.06 = 227.78/x
  3. Step 3: Cross multiply
    393.50x = 543.06 × 227.78
  4. Step 4: Simplify right side
    393.50x = 123,698.21
  5. Step 5: Solve for x
    x = 123,698.21/393.50
  6. Step 6: Final answer
    x = 314.35

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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.