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Finding the Fourth Proportional to 517.67, 776.50 and 193.06

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Solution

The fourth proportional to 517.67, 776.50 and 193.06 is: 289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.67 : 776.50 = 193.06 : x
  2. Step 2: Convert to fraction form
    517.67/776.50 = 193.06/x
  3. Step 3: Cross multiply
    517.67x = 776.50 × 193.06
  4. Step 4: Simplify right side
    517.67x = 149,908.67
  5. Step 5: Solve for x
    x = 149,908.67/517.67
  6. Step 6: Final answer
    x = 289.59

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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.