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Finding the Fourth Proportional to 604.56, 905.91 and 279.55

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Solution

The fourth proportional to 604.56, 905.91 and 279.55 is: 418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.56 : 905.91 = 279.55 : x
  2. Step 2: Convert to fraction form
    604.56/905.91 = 279.55/x
  3. Step 3: Cross multiply
    604.56x = 905.91 × 279.55
  4. Step 4: Simplify right side
    604.56x = 253,247.14
  5. Step 5: Solve for x
    x = 253,247.14/604.56
  6. Step 6: Final answer
    x = 418.89

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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.