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Finding the Fourth Proportional to 351.41, 527.67 and 274.55

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Solution

The fourth proportional to 351.41, 527.67 and 274.55 is: 412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.41 : 527.67 = 274.55 : x
  2. Step 2: Convert to fraction form
    351.41/527.67 = 274.55/x
  3. Step 3: Cross multiply
    351.41x = 527.67 × 274.55
  4. Step 4: Simplify right side
    351.41x = 144,869.16
  5. Step 5: Solve for x
    x = 144,869.16/351.41
  6. Step 6: Final answer
    x = 412.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.