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Finding the Fourth Proportional to 401.49, 554.06 and 226.82

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Solution

The fourth proportional to 401.49, 554.06 and 226.82 is: 313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.49 : 554.06 = 226.82 : x
  2. Step 2: Convert to fraction form
    401.49/554.06 = 226.82/x
  3. Step 3: Cross multiply
    401.49x = 554.06 × 226.82
  4. Step 4: Simplify right side
    401.49x = 125,673.84
  5. Step 5: Solve for x
    x = 125,673.84/401.49
  6. Step 6: Final answer
    x = 313.02

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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.