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Finding the Fourth Proportional to 344.56, 517.08 and 263.44

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Solution

The fourth proportional to 344.56, 517.08 and 263.44 is: 395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.56 : 517.08 = 263.44 : x
  2. Step 2: Convert to fraction form
    344.56/517.08 = 263.44/x
  3. Step 3: Cross multiply
    344.56x = 517.08 × 263.44
  4. Step 4: Simplify right side
    344.56x = 136,219.56
  5. Step 5: Solve for x
    x = 136,219.56/344.56
  6. Step 6: Final answer
    x = 395.34

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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.