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Finding the Fourth Proportional to 402.09, 554.93 and 227.46

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Solution

The fourth proportional to 402.09, 554.93 and 227.46 is: 313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.09 : 554.93 = 227.46 : x
  2. Step 2: Convert to fraction form
    402.09/554.93 = 227.46/x
  3. Step 3: Cross multiply
    402.09x = 554.93 × 227.46
  4. Step 4: Simplify right side
    402.09x = 126,224.38
  5. Step 5: Solve for x
    x = 126,224.38/402.09
  6. Step 6: Final answer
    x = 313.92

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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.