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Finding the Fourth Proportional to 401.56, 602.84 and 272.13

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Solution

The fourth proportional to 401.56, 602.84 and 272.13 is: 408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.56 : 602.84 = 272.13 : x
  2. Step 2: Convert to fraction form
    401.56/602.84 = 272.13/x
  3. Step 3: Cross multiply
    401.56x = 602.84 × 272.13
  4. Step 4: Simplify right side
    401.56x = 164,049.27
  5. Step 5: Solve for x
    x = 164,049.27/401.56
  6. Step 6: Final answer
    x = 408.53

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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.