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Finding the Fourth Proportional to 516.98, 775.34 and 208.75

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Solution

The fourth proportional to 516.98, 775.34 and 208.75 is: 313.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.98 : 775.34 = 208.75 : x
  2. Step 2: Convert to fraction form
    516.98/775.34 = 208.75/x
  3. Step 3: Cross multiply
    516.98x = 775.34 × 208.75
  4. Step 4: Simplify right side
    516.98x = 161,852.23
  5. Step 5: Solve for x
    x = 161,852.23/516.98
  6. Step 6: Final answer
    x = 313.07

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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.