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Finding the Fourth Proportional to 276.76, 414.98 and 202.94

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Solution

The fourth proportional to 276.76, 414.98 and 202.94 is: 304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.76 : 414.98 = 202.94 : x
  2. Step 2: Convert to fraction form
    276.76/414.98 = 202.94/x
  3. Step 3: Cross multiply
    276.76x = 414.98 × 202.94
  4. Step 4: Simplify right side
    276.76x = 84,216.06
  5. Step 5: Solve for x
    x = 84,216.06/276.76
  6. Step 6: Final answer
    x = 304.30

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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.