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Finding the Fourth Proportional to 276.35, 414.01 and 230.99

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Solution

The fourth proportional to 276.35, 414.01 and 230.99 is: 346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.35 : 414.01 = 230.99 : x
  2. Step 2: Convert to fraction form
    276.35/414.01 = 230.99/x
  3. Step 3: Cross multiply
    276.35x = 414.01 × 230.99
  4. Step 4: Simplify right side
    276.35x = 95,631.01
  5. Step 5: Solve for x
    x = 95,631.01/276.35
  6. Step 6: Final answer
    x = 346.05

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