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Finding the Fourth Proportional to 401.41, 553.49 and 327.50

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Solution

The fourth proportional to 401.41, 553.49 and 327.50 is: 451.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.41 : 553.49 = 327.50 : x
  2. Step 2: Convert to fraction form
    401.41/553.49 = 327.50/x
  3. Step 3: Cross multiply
    401.41x = 553.49 × 327.50
  4. Step 4: Simplify right side
    401.41x = 181,267.98
  5. Step 5: Solve for x
    x = 181,267.98/401.41
  6. Step 6: Final answer
    x = 451.58

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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.