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Finding the Fourth Proportional to 604.88, 906.33 and 582.11

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Solution

The fourth proportional to 604.88, 906.33 and 582.11 is: 872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.88 : 906.33 = 582.11 : x
  2. Step 2: Convert to fraction form
    604.88/906.33 = 582.11/x
  3. Step 3: Cross multiply
    604.88x = 906.33 × 582.11
  4. Step 4: Simplify right side
    604.88x = 527,583.76
  5. Step 5: Solve for x
    x = 527,583.76/604.88
  6. Step 6: Final answer
    x = 872.21

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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.