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Finding the Fourth Proportional to 402.54, 555.36 and 227.84

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Solution

The fourth proportional to 402.54, 555.36 and 227.84 is: 314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.54 : 555.36 = 227.84 : x
  2. Step 2: Convert to fraction form
    402.54/555.36 = 227.84/x
  3. Step 3: Cross multiply
    402.54x = 555.36 × 227.84
  4. Step 4: Simplify right side
    402.54x = 126,533.22
  5. Step 5: Solve for x
    x = 126,533.22/402.54
  6. Step 6: Final answer
    x = 314.34

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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.