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Finding the Fourth Proportional to 401.23, 601.72 and 216.02

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Solution

The fourth proportional to 401.23, 601.72 and 216.02 is: 323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.23 : 601.72 = 216.02 : x
  2. Step 2: Convert to fraction form
    401.23/601.72 = 216.02/x
  3. Step 3: Cross multiply
    401.23x = 601.72 × 216.02
  4. Step 4: Simplify right side
    401.23x = 129,983.55
  5. Step 5: Solve for x
    x = 129,983.55/401.23
  6. Step 6: Final answer
    x = 323.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.