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Finding the Fourth Proportional to 517.12, 774.86 and 311.42

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Solution

The fourth proportional to 517.12, 774.86 and 311.42 is: 466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.12 : 774.86 = 311.42 : x
  2. Step 2: Convert to fraction form
    517.12/774.86 = 311.42/x
  3. Step 3: Cross multiply
    517.12x = 774.86 × 311.42
  4. Step 4: Simplify right side
    517.12x = 241,306.90
  5. Step 5: Solve for x
    x = 241,306.90/517.12
  6. Step 6: Final answer
    x = 466.64

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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.