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Finding the Fourth Proportional to 518.72, 778.08 and 492.77

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Solution

The fourth proportional to 518.72, 778.08 and 492.77 is: 739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.72 : 778.08 = 492.77 : x
  2. Step 2: Convert to fraction form
    518.72/778.08 = 492.77/x
  3. Step 3: Cross multiply
    518.72x = 778.08 × 492.77
  4. Step 4: Simplify right side
    518.72x = 383,414.48
  5. Step 5: Solve for x
    x = 383,414.48/518.72
  6. Step 6: Final answer
    x = 739.16

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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.