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Finding the Fourth Proportional to 287.24, 398.24 and 272.60

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Solution

The fourth proportional to 287.24, 398.24 and 272.60 is: 377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.24 : 398.24 = 272.60 : x
  2. Step 2: Convert to fraction form
    287.24/398.24 = 272.60/x
  3. Step 3: Cross multiply
    287.24x = 398.24 × 272.60
  4. Step 4: Simplify right side
    287.24x = 108,560.22
  5. Step 5: Solve for x
    x = 108,560.22/287.24
  6. Step 6: Final answer
    x = 377.94

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.