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Finding the Fourth Proportional to 450.99, 677.39 and 385.97

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Solution

The fourth proportional to 450.99, 677.39 and 385.97 is: 579.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.99 : 677.39 = 385.97 : x
  2. Step 2: Convert to fraction form
    450.99/677.39 = 385.97/x
  3. Step 3: Cross multiply
    450.99x = 677.39 × 385.97
  4. Step 4: Simplify right side
    450.99x = 261,446.90
  5. Step 5: Solve for x
    x = 261,446.90/450.99
  6. Step 6: Final answer
    x = 579.72

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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.