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Finding the Fourth Proportional to 517.39, 775.48 and 208.83

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Solution

The fourth proportional to 517.39, 775.48 and 208.83 is: 313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.39 : 775.48 = 208.83 : x
  2. Step 2: Convert to fraction form
    517.39/775.48 = 208.83/x
  3. Step 3: Cross multiply
    517.39x = 775.48 × 208.83
  4. Step 4: Simplify right side
    517.39x = 161,942.97
  5. Step 5: Solve for x
    x = 161,942.97/517.39
  6. Step 6: Final answer
    x = 313.00

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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.