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Finding the Fourth Proportional to 338.60, 466.68 and 276.30

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Solution

The fourth proportional to 338.60, 466.68 and 276.30 is: 380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.60 : 466.68 = 276.30 : x
  2. Step 2: Convert to fraction form
    338.60/466.68 = 276.30/x
  3. Step 3: Cross multiply
    338.60x = 466.68 × 276.30
  4. Step 4: Simplify right side
    338.60x = 128,943.68
  5. Step 5: Solve for x
    x = 128,943.68/338.60
  6. Step 6: Final answer
    x = 380.81

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Why These Related Problems?

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