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Finding the Fourth Proportional to 270.40, 370.76 and 263.92

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Solution

The fourth proportional to 270.40, 370.76 and 263.92 is: 361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.40 : 370.76 = 263.92 : x
  2. Step 2: Convert to fraction form
    270.40/370.76 = 263.92/x
  3. Step 3: Cross multiply
    270.40x = 370.76 × 263.92
  4. Step 4: Simplify right side
    270.40x = 97,850.98
  5. Step 5: Solve for x
    x = 97,850.98/270.40
  6. Step 6: Final answer
    x = 361.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.