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Finding the Fourth Proportional to 279.95, 385.85 and 276.17

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Solution

The fourth proportional to 279.95, 385.85 and 276.17 is: 380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.95 : 385.85 = 276.17 : x
  2. Step 2: Convert to fraction form
    279.95/385.85 = 276.17/x
  3. Step 3: Cross multiply
    279.95x = 385.85 × 276.17
  4. Step 4: Simplify right side
    279.95x = 106,558.81
  5. Step 5: Solve for x
    x = 106,558.81/279.95
  6. Step 6: Final answer
    x = 380.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.