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Finding the Fourth Proportional to 276.36, 412.13 and 241.80

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Solution

The fourth proportional to 276.36, 412.13 and 241.80 is: 360.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.36 : 412.13 = 241.80 : x
  2. Step 2: Convert to fraction form
    276.36/412.13 = 241.80/x
  3. Step 3: Cross multiply
    276.36x = 412.13 × 241.80
  4. Step 4: Simplify right side
    276.36x = 99,653.03
  5. Step 5: Solve for x
    x = 99,653.03/276.36
  6. Step 6: Final answer
    x = 360.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.