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Finding the Fourth Proportional to 518.62, 778.02 and 464.80

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Solution

The fourth proportional to 518.62, 778.02 and 464.80 is: 697.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.62 : 778.02 = 464.80 : x
  2. Step 2: Convert to fraction form
    518.62/778.02 = 464.80/x
  3. Step 3: Cross multiply
    518.62x = 778.02 × 464.80
  4. Step 4: Simplify right side
    518.62x = 361,623.70
  5. Step 5: Solve for x
    x = 361,623.70/518.62
  6. Step 6: Final answer
    x = 697.28

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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.