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Finding the Fourth Proportional to 517.68, 776.43 and 193.05

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Solution

The fourth proportional to 517.68, 776.43 and 193.05 is: 289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.68 : 776.43 = 193.05 : x
  2. Step 2: Convert to fraction form
    517.68/776.43 = 193.05/x
  3. Step 3: Cross multiply
    517.68x = 776.43 × 193.05
  4. Step 4: Simplify right side
    517.68x = 149,889.81
  5. Step 5: Solve for x
    x = 149,889.81/517.68
  6. Step 6: Final answer
    x = 289.54

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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.