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Finding the Fourth Proportional to 517.57, 775.57 and 311.91

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Solution

The fourth proportional to 517.57, 775.57 and 311.91 is: 467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.57 : 775.57 = 311.91 : x
  2. Step 2: Convert to fraction form
    517.57/775.57 = 311.91/x
  3. Step 3: Cross multiply
    517.57x = 775.57 × 311.91
  4. Step 4: Simplify right side
    517.57x = 241,908.04
  5. Step 5: Solve for x
    x = 241,908.04/517.57
  6. Step 6: Final answer
    x = 467.39

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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.