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Finding the Fourth Proportional to 517.09, 775.68 and 192.38

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Solution

The fourth proportional to 517.09, 775.68 and 192.38 is: 288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.09 : 775.68 = 192.38 : x
  2. Step 2: Convert to fraction form
    517.09/775.68 = 192.38/x
  3. Step 3: Cross multiply
    517.09x = 775.68 × 192.38
  4. Step 4: Simplify right side
    517.09x = 149,225.32
  5. Step 5: Solve for x
    x = 149,225.32/517.09
  6. Step 6: Final answer
    x = 288.59

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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.