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Finding the Fourth Proportional to 401.86, 554.60 and 227.21

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Solution

The fourth proportional to 401.86, 554.60 and 227.21 is: 313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.86 : 554.60 = 227.21 : x
  2. Step 2: Convert to fraction form
    401.86/554.60 = 227.21/x
  3. Step 3: Cross multiply
    401.86x = 554.60 × 227.21
  4. Step 4: Simplify right side
    401.86x = 126,006.76
  5. Step 5: Solve for x
    x = 126,006.76/401.86
  6. Step 6: Final answer
    x = 313.56

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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.