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Finding the Fourth Proportional to 517.59, 775.71 and 209.27

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Solution

The fourth proportional to 517.59, 775.71 and 209.27 is: 313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.59 : 775.71 = 209.27 : x
  2. Step 2: Convert to fraction form
    517.59/775.71 = 209.27/x
  3. Step 3: Cross multiply
    517.59x = 775.71 × 209.27
  4. Step 4: Simplify right side
    517.59x = 162,334.77
  5. Step 5: Solve for x
    x = 162,334.77/517.59
  6. Step 6: Final answer
    x = 313.64

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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.