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Finding the Fourth Proportional to 334.92, 462.78 and 276.60

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Solution

The fourth proportional to 334.92, 462.78 and 276.60 is: 382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.92 : 462.78 = 276.60 : x
  2. Step 2: Convert to fraction form
    334.92/462.78 = 276.60/x
  3. Step 3: Cross multiply
    334.92x = 462.78 × 276.60
  4. Step 4: Simplify right side
    334.92x = 128,004.95
  5. Step 5: Solve for x
    x = 128,004.95/334.92
  6. Step 6: Final answer
    x = 382.20

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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.