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Finding the Fourth Proportional to 517.23, 775.64 and 209.13

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Solution

The fourth proportional to 517.23, 775.64 and 209.13 is: 313.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.23 : 775.64 = 209.13 : x
  2. Step 2: Convert to fraction form
    517.23/775.64 = 209.13/x
  3. Step 3: Cross multiply
    517.23x = 775.64 × 209.13
  4. Step 4: Simplify right side
    517.23x = 162,204.67
  5. Step 5: Solve for x
    x = 162,204.67/517.23
  6. Step 6: Final answer
    x = 313.61

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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.