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Finding the Fourth Proportional to 288.69, 395.30 and 276.40

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Solution

The fourth proportional to 288.69, 395.30 and 276.40 is: 378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.69 : 395.30 = 276.40 : x
  2. Step 2: Convert to fraction form
    288.69/395.30 = 276.40/x
  3. Step 3: Cross multiply
    288.69x = 395.30 × 276.40
  4. Step 4: Simplify right side
    288.69x = 109,260.92
  5. Step 5: Solve for x
    x = 109,260.92/288.69
  6. Step 6: Final answer
    x = 378.47

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Why These Related Problems?

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