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Finding the Fourth Proportional to 275.76, 414.42 and 245.76

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Solution

The fourth proportional to 275.76, 414.42 and 245.76 is: 369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.76 : 414.42 = 245.76 : x
  2. Step 2: Convert to fraction form
    275.76/414.42 = 245.76/x
  3. Step 3: Cross multiply
    275.76x = 414.42 × 245.76
  4. Step 4: Simplify right side
    275.76x = 101,847.86
  5. Step 5: Solve for x
    x = 101,847.86/275.76
  6. Step 6: Final answer
    x = 369.34

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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.