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Finding the Fourth Proportional to 517.09, 775.45 and 311.70

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Solution

The fourth proportional to 517.09, 775.45 and 311.70 is: 467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.09 : 775.45 = 311.70 : x
  2. Step 2: Convert to fraction form
    517.09/775.45 = 311.70/x
  3. Step 3: Cross multiply
    517.09x = 775.45 × 311.70
  4. Step 4: Simplify right side
    517.09x = 241,707.77
  5. Step 5: Solve for x
    x = 241,707.77/517.09
  6. Step 6: Final answer
    x = 467.44

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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.