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Finding the Fourth Proportional to 288.76, 396.76 and 276.04

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Solution

The fourth proportional to 288.76, 396.76 and 276.04 is: 379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.76 : 396.76 = 276.04 : x
  2. Step 2: Convert to fraction form
    288.76/396.76 = 276.04/x
  3. Step 3: Cross multiply
    288.76x = 396.76 × 276.04
  4. Step 4: Simplify right side
    288.76x = 109,521.63
  5. Step 5: Solve for x
    x = 109,521.63/288.76
  6. Step 6: Final answer
    x = 379.28

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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.