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Finding the Fourth Proportional to 517.80, 776.84 and 171.12

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Solution

The fourth proportional to 517.80, 776.84 and 171.12 is: 256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.80 : 776.84 = 171.12 : x
  2. Step 2: Convert to fraction form
    517.80/776.84 = 171.12/x
  3. Step 3: Cross multiply
    517.80x = 776.84 × 171.12
  4. Step 4: Simplify right side
    517.80x = 132,932.01
  5. Step 5: Solve for x
    x = 132,932.01/517.80
  6. Step 6: Final answer
    x = 256.72

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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.