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Finding the Fourth Proportional to 517.17, 775.50 and 243.03

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Solution

The fourth proportional to 517.17, 775.50 and 243.03 is: 364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.17 : 775.50 = 243.03 : x
  2. Step 2: Convert to fraction form
    517.17/775.50 = 243.03/x
  3. Step 3: Cross multiply
    517.17x = 775.50 × 243.03
  4. Step 4: Simplify right side
    517.17x = 188,469.77
  5. Step 5: Solve for x
    x = 188,469.77/517.17
  6. Step 6: Final answer
    x = 364.43

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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.