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Finding the Fourth Proportional to 519.76, 778.04 and 445.95

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Solution

The fourth proportional to 519.76, 778.04 and 445.95 is: 667.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.76 : 778.04 = 445.95 : x
  2. Step 2: Convert to fraction form
    519.76/778.04 = 445.95/x
  3. Step 3: Cross multiply
    519.76x = 778.04 × 445.95
  4. Step 4: Simplify right side
    519.76x = 346,966.94
  5. Step 5: Solve for x
    x = 346,966.94/519.76
  6. Step 6: Final answer
    x = 667.55

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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.