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Finding the Fourth Proportional to 401.79, 554.34 and 227.14

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Solution

The fourth proportional to 401.79, 554.34 and 227.14 is: 313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.79 : 554.34 = 227.14 : x
  2. Step 2: Convert to fraction form
    401.79/554.34 = 227.14/x
  3. Step 3: Cross multiply
    401.79x = 554.34 × 227.14
  4. Step 4: Simplify right side
    401.79x = 125,912.25
  5. Step 5: Solve for x
    x = 125,912.25/401.79
  6. Step 6: Final answer
    x = 313.38

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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.