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Finding the Fourth Proportional to 276.36, 412.07 and 266.10

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Solution

The fourth proportional to 276.36, 412.07 and 266.10 is: 396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.36 : 412.07 = 266.10 : x
  2. Step 2: Convert to fraction form
    276.36/412.07 = 266.10/x
  3. Step 3: Cross multiply
    276.36x = 412.07 × 266.10
  4. Step 4: Simplify right side
    276.36x = 109,650.50
  5. Step 5: Solve for x
    x = 109,650.50/276.36
  6. Step 6: Final answer
    x = 396.77

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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.