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Finding the Fourth Proportional to 385.01, 576.49 and 300.78

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Solution

The fourth proportional to 385.01, 576.49 and 300.78 is: 450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.01 : 576.49 = 300.78 : x
  2. Step 2: Convert to fraction form
    385.01/576.49 = 300.78/x
  3. Step 3: Cross multiply
    385.01x = 576.49 × 300.78
  4. Step 4: Simplify right side
    385.01x = 173,396.66
  5. Step 5: Solve for x
    x = 173,396.66/385.01
  6. Step 6: Final answer
    x = 450.37

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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.