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Finding the Fourth Proportional to 402.01, 601.83 and 299.75

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Solution

The fourth proportional to 402.01, 601.83 and 299.75 is: 448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.01 : 601.83 = 299.75 : x
  2. Step 2: Convert to fraction form
    402.01/601.83 = 299.75/x
  3. Step 3: Cross multiply
    402.01x = 601.83 × 299.75
  4. Step 4: Simplify right side
    402.01x = 180,398.54
  5. Step 5: Solve for x
    x = 180,398.54/402.01
  6. Step 6: Final answer
    x = 448.74

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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.