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Finding the Fourth Proportional to 275.20, 410.40 and 272.80

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Solution

The fourth proportional to 275.20, 410.40 and 272.80 is: 406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.20 : 410.40 = 272.80 : x
  2. Step 2: Convert to fraction form
    275.20/410.40 = 272.80/x
  3. Step 3: Cross multiply
    275.20x = 410.40 × 272.80
  4. Step 4: Simplify right side
    275.20x = 111,957.12
  5. Step 5: Solve for x
    x = 111,957.12/275.20
  6. Step 6: Final answer
    x = 406.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.