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Finding the Fourth Proportional to 275.28, 414.56 and 239.64

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Solution

The fourth proportional to 275.28, 414.56 and 239.64 is: 360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.28 : 414.56 = 239.64 : x
  2. Step 2: Convert to fraction form
    275.28/414.56 = 239.64/x
  3. Step 3: Cross multiply
    275.28x = 414.56 × 239.64
  4. Step 4: Simplify right side
    275.28x = 99,343.96
  5. Step 5: Solve for x
    x = 99,343.96/275.28
  6. Step 6: Final answer
    x = 360.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.