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Finding the Fourth Proportional to 517.68, 776.46 and 192.99

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Solution

The fourth proportional to 517.68, 776.46 and 192.99 is: 289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.68 : 776.46 = 192.99 : x
  2. Step 2: Convert to fraction form
    517.68/776.46 = 192.99/x
  3. Step 3: Cross multiply
    517.68x = 776.46 × 192.99
  4. Step 4: Simplify right side
    517.68x = 149,849.02
  5. Step 5: Solve for x
    x = 149,849.02/517.68
  6. Step 6: Final answer
    x = 289.46

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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.