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Finding the Fourth Proportional to 517.62, 775.89 and 192.84

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Solution

The fourth proportional to 517.62, 775.89 and 192.84 is: 289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.62 : 775.89 = 192.84 : x
  2. Step 2: Convert to fraction form
    517.62/775.89 = 192.84/x
  3. Step 3: Cross multiply
    517.62x = 775.89 × 192.84
  4. Step 4: Simplify right side
    517.62x = 149,622.63
  5. Step 5: Solve for x
    x = 149,622.63/517.62
  6. Step 6: Final answer
    x = 289.06

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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.