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Finding the Fourth Proportional to 517.84, 776.77 and 193.14

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Solution

The fourth proportional to 517.84, 776.77 and 193.14 is: 289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.84 : 776.77 = 193.14 : x
  2. Step 2: Convert to fraction form
    517.84/776.77 = 193.14/x
  3. Step 3: Cross multiply
    517.84x = 776.77 × 193.14
  4. Step 4: Simplify right side
    517.84x = 150,024.87
  5. Step 5: Solve for x
    x = 150,024.87/517.84
  6. Step 6: Final answer
    x = 289.71

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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.