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Finding the Fourth Proportional to 517.69, 776.18 and 243.64

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Solution

The fourth proportional to 517.69, 776.18 and 243.64 is: 365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.69 : 776.18 = 243.64 : x
  2. Step 2: Convert to fraction form
    517.69/776.18 = 243.64/x
  3. Step 3: Cross multiply
    517.69x = 776.18 × 243.64
  4. Step 4: Simplify right side
    517.69x = 189,107.28
  5. Step 5: Solve for x
    x = 189,107.28/517.69
  6. Step 6: Final answer
    x = 365.29

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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.