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Finding the Fourth Proportional to 276.13, 415.09 and 256.08

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Solution

The fourth proportional to 276.13, 415.09 and 256.08 is: 384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.13 : 415.09 = 256.08 : x
  2. Step 2: Convert to fraction form
    276.13/415.09 = 256.08/x
  3. Step 3: Cross multiply
    276.13x = 415.09 × 256.08
  4. Step 4: Simplify right side
    276.13x = 106,296.25
  5. Step 5: Solve for x
    x = 106,296.25/276.13
  6. Step 6: Final answer
    x = 384.95

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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.