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Finding the Fourth Proportional to 518.45, 777.80 and 193.82

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Solution

The fourth proportional to 518.45, 777.80 and 193.82 is: 290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.45 : 777.80 = 193.82 : x
  2. Step 2: Convert to fraction form
    518.45/777.80 = 193.82/x
  3. Step 3: Cross multiply
    518.45x = 777.80 × 193.82
  4. Step 4: Simplify right side
    518.45x = 150,749.31
  5. Step 5: Solve for x
    x = 150,749.31/518.45
  6. Step 6: Final answer
    x = 290.77

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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.