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Finding the Fourth Proportional to 518.36, 777.35 and 171.63

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Solution

The fourth proportional to 518.36, 777.35 and 171.63 is: 257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.36 : 777.35 = 171.63 : x
  2. Step 2: Convert to fraction form
    518.36/777.35 = 171.63/x
  3. Step 3: Cross multiply
    518.36x = 777.35 × 171.63
  4. Step 4: Simplify right side
    518.36x = 133,416.58
  5. Step 5: Solve for x
    x = 133,416.58/518.36
  6. Step 6: Final answer
    x = 257.38

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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.