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Finding the Fourth Proportional to 518.46, 777.64 and 171.78

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Solution

The fourth proportional to 518.46, 777.64 and 171.78 is: 257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.46 : 777.64 = 171.78 : x
  2. Step 2: Convert to fraction form
    518.46/777.64 = 171.78/x
  3. Step 3: Cross multiply
    518.46x = 777.64 × 171.78
  4. Step 4: Simplify right side
    518.46x = 133,583.00
  5. Step 5: Solve for x
    x = 133,583.00/518.46
  6. Step 6: Final answer
    x = 257.65

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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.