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Finding the Fourth Proportional to 276.70, 415.05 and 269.02

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Solution

The fourth proportional to 276.70, 415.05 and 269.02 is: 403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.70 : 415.05 = 269.02 : x
  2. Step 2: Convert to fraction form
    276.70/415.05 = 269.02/x
  3. Step 3: Cross multiply
    276.70x = 415.05 × 269.02
  4. Step 4: Simplify right side
    276.70x = 111,656.75
  5. Step 5: Solve for x
    x = 111,656.75/276.70
  6. Step 6: Final answer
    x = 403.53

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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.