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Finding the Fourth Proportional to 279.10, 415.40 and 276.40

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Solution

The fourth proportional to 279.10, 415.40 and 276.40 is: 411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.10 : 415.40 = 276.40 : x
  2. Step 2: Convert to fraction form
    279.10/415.40 = 276.40/x
  3. Step 3: Cross multiply
    279.10x = 415.40 × 276.40
  4. Step 4: Simplify right side
    279.10x = 114,816.56
  5. Step 5: Solve for x
    x = 114,816.56/279.10
  6. Step 6: Final answer
    x = 411.38

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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.