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Finding the Fourth Proportional to 402.12, 601.34 and 299.48

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Solution

The fourth proportional to 402.12, 601.34 and 299.48 is: 447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.12 : 601.34 = 299.48 : x
  2. Step 2: Convert to fraction form
    402.12/601.34 = 299.48/x
  3. Step 3: Cross multiply
    402.12x = 601.34 × 299.48
  4. Step 4: Simplify right side
    402.12x = 180,084.80
  5. Step 5: Solve for x
    x = 180,084.80/402.12
  6. Step 6: Final answer
    x = 447.84

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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.