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Finding the Fourth Proportional to 402.63, 555.69 and 227.94

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Solution

The fourth proportional to 402.63, 555.69 and 227.94 is: 314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.63 : 555.69 = 227.94 : x
  2. Step 2: Convert to fraction form
    402.63/555.69 = 227.94/x
  3. Step 3: Cross multiply
    402.63x = 555.69 × 227.94
  4. Step 4: Simplify right side
    402.63x = 126,663.98
  5. Step 5: Solve for x
    x = 126,663.98/402.63
  6. Step 6: Final answer
    x = 314.59

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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.