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Finding the Fourth Proportional to 402.02, 602.42 and 298.82

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Solution

The fourth proportional to 402.02, 602.42 and 298.82 is: 447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.02 : 602.42 = 298.82 : x
  2. Step 2: Convert to fraction form
    402.02/602.42 = 298.82/x
  3. Step 3: Cross multiply
    402.02x = 602.42 × 298.82
  4. Step 4: Simplify right side
    402.02x = 180,015.14
  5. Step 5: Solve for x
    x = 180,015.14/402.02
  6. Step 6: Final answer
    x = 447.78

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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.