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Finding the Fourth Proportional to 517.64, 776.36 and 170.97

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Solution

The fourth proportional to 517.64, 776.36 and 170.97 is: 256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.64 : 776.36 = 170.97 : x
  2. Step 2: Convert to fraction form
    517.64/776.36 = 170.97/x
  3. Step 3: Cross multiply
    517.64x = 776.36 × 170.97
  4. Step 4: Simplify right side
    517.64x = 132,733.41
  5. Step 5: Solve for x
    x = 132,733.41/517.64
  6. Step 6: Final answer
    x = 256.42

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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.