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Finding the Fourth Proportional to 517.56, 776.07 and 243.57

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Solution

The fourth proportional to 517.56, 776.07 and 243.57 is: 365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.56 : 776.07 = 243.57 : x
  2. Step 2: Convert to fraction form
    517.56/776.07 = 243.57/x
  3. Step 3: Cross multiply
    517.56x = 776.07 × 243.57
  4. Step 4: Simplify right side
    517.56x = 189,027.37
  5. Step 5: Solve for x
    x = 189,027.37/517.56
  6. Step 6: Final answer
    x = 365.23

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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.