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Finding the Fourth Proportional to 517.14, 775.65 and 209.13

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Solution

The fourth proportional to 517.14, 775.65 and 209.13 is: 313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.14 : 775.65 = 209.13 : x
  2. Step 2: Convert to fraction form
    517.14/775.65 = 209.13/x
  3. Step 3: Cross multiply
    517.14x = 775.65 × 209.13
  4. Step 4: Simplify right side
    517.14x = 162,211.68
  5. Step 5: Solve for x
    x = 162,211.68/517.14
  6. Step 6: Final answer
    x = 313.67

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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.