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Finding the Fourth Proportional to 276.90, 414.15 and 233.70

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Solution

The fourth proportional to 276.90, 414.15 and 233.70 is: 349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.90 : 414.15 = 233.70 : x
  2. Step 2: Convert to fraction form
    276.90/414.15 = 233.70/x
  3. Step 3: Cross multiply
    276.90x = 414.15 × 233.70
  4. Step 4: Simplify right side
    276.90x = 96,786.86
  5. Step 5: Solve for x
    x = 96,786.86/276.90
  6. Step 6: Final answer
    x = 349.54

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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.