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Finding the Fourth Proportional to 334.10, 460.41 and 274.88

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Solution

The fourth proportional to 334.10, 460.41 and 274.88 is: 378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.10 : 460.41 = 274.88 : x
  2. Step 2: Convert to fraction form
    334.10/460.41 = 274.88/x
  3. Step 3: Cross multiply
    334.10x = 460.41 × 274.88
  4. Step 4: Simplify right side
    334.10x = 126,557.50
  5. Step 5: Solve for x
    x = 126,557.50/334.10
  6. Step 6: Final answer
    x = 378.80

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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.