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Finding the Fourth Proportional to 517.41, 775.74 and 243.36

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Solution

The fourth proportional to 517.41, 775.74 and 243.36 is: 364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.41 : 775.74 = 243.36 : x
  2. Step 2: Convert to fraction form
    517.41/775.74 = 243.36/x
  3. Step 3: Cross multiply
    517.41x = 775.74 × 243.36
  4. Step 4: Simplify right side
    517.41x = 188,784.09
  5. Step 5: Solve for x
    x = 188,784.09/517.41
  6. Step 6: Final answer
    x = 364.86

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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.