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Finding the Fourth Proportional to 402.99, 604.26 and 207.78

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Solution

The fourth proportional to 402.99, 604.26 and 207.78 is: 311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.99 : 604.26 = 207.78 : x
  2. Step 2: Convert to fraction form
    402.99/604.26 = 207.78/x
  3. Step 3: Cross multiply
    402.99x = 604.26 × 207.78
  4. Step 4: Simplify right side
    402.99x = 125,553.14
  5. Step 5: Solve for x
    x = 125,553.14/402.99
  6. Step 6: Final answer
    x = 311.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.