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Finding the Fourth Proportional to 516.94, 775.55 and 208.72

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Solution

The fourth proportional to 516.94, 775.55 and 208.72 is: 313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.94 : 775.55 = 208.72 : x
  2. Step 2: Convert to fraction form
    516.94/775.55 = 208.72/x
  3. Step 3: Cross multiply
    516.94x = 775.55 × 208.72
  4. Step 4: Simplify right side
    516.94x = 161,874.29
  5. Step 5: Solve for x
    x = 161,874.29/516.94
  6. Step 6: Final answer
    x = 313.14

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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.