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Finding the Fourth Proportional to 519.80, 778.10 and 410.04

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Solution

The fourth proportional to 519.80, 778.10 and 410.04 is: 613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.80 : 778.10 = 410.04 : x
  2. Step 2: Convert to fraction form
    519.80/778.10 = 410.04/x
  3. Step 3: Cross multiply
    519.80x = 778.10 × 410.04
  4. Step 4: Simplify right side
    519.80x = 319,052.12
  5. Step 5: Solve for x
    x = 319,052.12/519.80
  6. Step 6: Final answer
    x = 613.80

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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.