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Finding the Fourth Proportional to 517.76, 776.23 and 243.71

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Solution

The fourth proportional to 517.76, 776.23 and 243.71 is: 365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.76 : 776.23 = 243.71 : x
  2. Step 2: Convert to fraction form
    517.76/776.23 = 243.71/x
  3. Step 3: Cross multiply
    517.76x = 776.23 × 243.71
  4. Step 4: Simplify right side
    517.76x = 189,170.52
  5. Step 5: Solve for x
    x = 189,170.52/517.76
  6. Step 6: Final answer
    x = 365.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.