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Finding the Fourth Proportional to 518.95, 778.30 and 299.10

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Solution

The fourth proportional to 518.95, 778.30 and 299.10 is: 448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.95 : 778.30 = 299.10 : x
  2. Step 2: Convert to fraction form
    518.95/778.30 = 299.10/x
  3. Step 3: Cross multiply
    518.95x = 778.30 × 299.10
  4. Step 4: Simplify right side
    518.95x = 232,791.70
  5. Step 5: Solve for x
    x = 232,791.70/518.95
  6. Step 6: Final answer
    x = 448.59

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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.