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Finding the Fourth Proportional to 517.96, 776.46 and 193.08

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Solution

The fourth proportional to 517.96, 776.46 and 193.08 is: 289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.96 : 776.46 = 193.08 : x
  2. Step 2: Convert to fraction form
    517.96/776.46 = 193.08/x
  3. Step 3: Cross multiply
    517.96x = 776.46 × 193.08
  4. Step 4: Simplify right side
    517.96x = 149,918.90
  5. Step 5: Solve for x
    x = 149,918.90/517.96
  6. Step 6: Final answer
    x = 289.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.