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Finding the Fourth Proportional to 276.84, 412.26 and 265.01

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Solution

The fourth proportional to 276.84, 412.26 and 265.01 is: 394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.84 : 412.26 = 265.01 : x
  2. Step 2: Convert to fraction form
    276.84/412.26 = 265.01/x
  3. Step 3: Cross multiply
    276.84x = 412.26 × 265.01
  4. Step 4: Simplify right side
    276.84x = 109,250.96
  5. Step 5: Solve for x
    x = 109,250.96/276.84
  6. Step 6: Final answer
    x = 394.64

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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.