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Finding the Fourth Proportional to 272.63, 409.84 and 252.58

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Solution

The fourth proportional to 272.63, 409.84 and 252.58 is: 379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.63 : 409.84 = 252.58 : x
  2. Step 2: Convert to fraction form
    272.63/409.84 = 252.58/x
  3. Step 3: Cross multiply
    272.63x = 409.84 × 252.58
  4. Step 4: Simplify right side
    272.63x = 103,515.73
  5. Step 5: Solve for x
    x = 103,515.73/272.63
  6. Step 6: Final answer
    x = 379.70

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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.