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Finding the Fourth Proportional to 276.68, 415.50 and 274.58

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Solution

The fourth proportional to 276.68, 415.50 and 274.58 is: 412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.68 : 415.50 = 274.58 : x
  2. Step 2: Convert to fraction form
    276.68/415.50 = 274.58/x
  3. Step 3: Cross multiply
    276.68x = 415.50 × 274.58
  4. Step 4: Simplify right side
    276.68x = 114,087.99
  5. Step 5: Solve for x
    x = 114,087.99/276.68
  6. Step 6: Final answer
    x = 412.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.