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Finding the Fourth Proportional to 517.77, 776.70 and 193.14

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Solution

The fourth proportional to 517.77, 776.70 and 193.14 is: 289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.77 : 776.70 = 193.14 : x
  2. Step 2: Convert to fraction form
    517.77/776.70 = 193.14/x
  3. Step 3: Cross multiply
    517.77x = 776.70 × 193.14
  4. Step 4: Simplify right side
    517.77x = 150,011.84
  5. Step 5: Solve for x
    x = 150,011.84/517.77
  6. Step 6: Final answer
    x = 289.73

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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.