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Finding the Fourth Proportional to 604.52, 905.61 and 315.26

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Solution

The fourth proportional to 604.52, 905.61 and 315.26 is: 472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.52 : 905.61 = 315.26 : x
  2. Step 2: Convert to fraction form
    604.52/905.61 = 315.26/x
  3. Step 3: Cross multiply
    604.52x = 905.61 × 315.26
  4. Step 4: Simplify right side
    604.52x = 285,502.61
  5. Step 5: Solve for x
    x = 285,502.61/604.52
  6. Step 6: Final answer
    x = 472.28

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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.