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Finding the Fourth Proportional to 275.12, 410.07 and 272.99

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Solution

The fourth proportional to 275.12, 410.07 and 272.99 is: 406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.12 : 410.07 = 272.99 : x
  2. Step 2: Convert to fraction form
    275.12/410.07 = 272.99/x
  3. Step 3: Cross multiply
    275.12x = 410.07 × 272.99
  4. Step 4: Simplify right side
    275.12x = 111,945.01
  5. Step 5: Solve for x
    x = 111,945.01/275.12
  6. Step 6: Final answer
    x = 406.90

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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.