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Finding the Fourth Proportional to 274.46, 410.87 and 171.41

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Solution

The fourth proportional to 274.46, 410.87 and 171.41 is: 256.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.46 : 410.87 = 171.41 : x
  2. Step 2: Convert to fraction form
    274.46/410.87 = 171.41/x
  3. Step 3: Cross multiply
    274.46x = 410.87 × 171.41
  4. Step 4: Simplify right side
    274.46x = 70,425.60
  5. Step 5: Solve for x
    x = 70,425.60/274.46
  6. Step 6: Final answer
    x = 256.60

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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.