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Finding the Fourth Proportional to 342.28, 513.01 and 251.43

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Solution

The fourth proportional to 342.28, 513.01 and 251.43 is: 376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.28 : 513.01 = 251.43 : x
  2. Step 2: Convert to fraction form
    342.28/513.01 = 251.43/x
  3. Step 3: Cross multiply
    342.28x = 513.01 × 251.43
  4. Step 4: Simplify right side
    342.28x = 128,986.10
  5. Step 5: Solve for x
    x = 128,986.10/342.28
  6. Step 6: Final answer
    x = 376.84

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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.