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Finding the Fourth Proportional to 604.92, 905.22 and 564.24

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Solution

The fourth proportional to 604.92, 905.22 and 564.24 is: 844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.92 : 905.22 = 564.24 : x
  2. Step 2: Convert to fraction form
    604.92/905.22 = 564.24/x
  3. Step 3: Cross multiply
    604.92x = 905.22 × 564.24
  4. Step 4: Simplify right side
    604.92x = 510,761.33
  5. Step 5: Solve for x
    x = 510,761.33/604.92
  6. Step 6: Final answer
    x = 844.35

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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.