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Finding the Fourth Proportional to 604.31, 905.54 and 440.07

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Solution

The fourth proportional to 604.31, 905.54 and 440.07 is: 659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.31 : 905.54 = 440.07 : x
  2. Step 2: Convert to fraction form
    604.31/905.54 = 440.07/x
  3. Step 3: Cross multiply
    604.31x = 905.54 × 440.07
  4. Step 4: Simplify right side
    604.31x = 398,498.79
  5. Step 5: Solve for x
    x = 398,498.79/604.31
  6. Step 6: Final answer
    x = 659.43

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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.