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Finding the Fourth Proportional to 518.46, 777.70 and 193.76

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Solution

The fourth proportional to 518.46, 777.70 and 193.76 is: 290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.46 : 777.70 = 193.76 : x
  2. Step 2: Convert to fraction form
    518.46/777.70 = 193.76/x
  3. Step 3: Cross multiply
    518.46x = 777.70 × 193.76
  4. Step 4: Simplify right side
    518.46x = 150,687.15
  5. Step 5: Solve for x
    x = 150,687.15/518.46
  6. Step 6: Final answer
    x = 290.64

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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.