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Finding the Fourth Proportional to 401.66, 554.09 and 327.09

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Solution

The fourth proportional to 401.66, 554.09 and 327.09 is: 451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.66 : 554.09 = 327.09 : x
  2. Step 2: Convert to fraction form
    401.66/554.09 = 327.09/x
  3. Step 3: Cross multiply
    401.66x = 554.09 × 327.09
  4. Step 4: Simplify right side
    401.66x = 181,235.66
  5. Step 5: Solve for x
    x = 181,235.66/401.66
  6. Step 6: Final answer
    x = 451.21

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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.