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Finding the Fourth Proportional to 276.96, 414.93 and 235.95

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Solution

The fourth proportional to 276.96, 414.93 and 235.95 is: 353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.96 : 414.93 = 235.95 : x
  2. Step 2: Convert to fraction form
    276.96/414.93 = 235.95/x
  3. Step 3: Cross multiply
    276.96x = 414.93 × 235.95
  4. Step 4: Simplify right side
    276.96x = 97,902.73
  5. Step 5: Solve for x
    x = 97,902.73/276.96
  6. Step 6: Final answer
    x = 353.49

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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.