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Finding the Fourth Proportional to 518.79, 778.17 and 172.14

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Solution

The fourth proportional to 518.79, 778.17 and 172.14 is: 258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.79 : 778.17 = 172.14 : x
  2. Step 2: Convert to fraction form
    518.79/778.17 = 172.14/x
  3. Step 3: Cross multiply
    518.79x = 778.17 × 172.14
  4. Step 4: Simplify right side
    518.79x = 133,954.18
  5. Step 5: Solve for x
    x = 133,954.18/518.79
  6. Step 6: Final answer
    x = 258.21

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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.