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Finding the Fourth Proportional to 386.66, 533.22 and 276.09

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Solution

The fourth proportional to 386.66, 533.22 and 276.09 is: 380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.66 : 533.22 = 276.09 : x
  2. Step 2: Convert to fraction form
    386.66/533.22 = 276.09/x
  3. Step 3: Cross multiply
    386.66x = 533.22 × 276.09
  4. Step 4: Simplify right side
    386.66x = 147,216.71
  5. Step 5: Solve for x
    x = 147,216.71/386.66
  6. Step 6: Final answer
    x = 380.74

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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.