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Finding the Fourth Proportional to 518.77, 778.29 and 153.56

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Solution

The fourth proportional to 518.77, 778.29 and 153.56 is: 230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.77 : 778.29 = 153.56 : x
  2. Step 2: Convert to fraction form
    518.77/778.29 = 153.56/x
  3. Step 3: Cross multiply
    518.77x = 778.29 × 153.56
  4. Step 4: Simplify right side
    518.77x = 119,513.44
  5. Step 5: Solve for x
    x = 119,513.44/518.77
  6. Step 6: Final answer
    x = 230.38

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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.