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Finding the Fourth Proportional to 517.45, 776.43 and 243.49

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Solution

The fourth proportional to 517.45, 776.43 and 243.49 is: 365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.45 : 776.43 = 243.49 : x
  2. Step 2: Convert to fraction form
    517.45/776.43 = 243.49/x
  3. Step 3: Cross multiply
    517.45x = 776.43 × 243.49
  4. Step 4: Simplify right side
    517.45x = 189,052.94
  5. Step 5: Solve for x
    x = 189,052.94/517.45
  6. Step 6: Final answer
    x = 365.35

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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.