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Finding the Fourth Proportional to 604.09, 906.14 and 389.04

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Solution

The fourth proportional to 604.09, 906.14 and 389.04 is: 583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.09 : 906.14 = 389.04 : x
  2. Step 2: Convert to fraction form
    604.09/906.14 = 389.04/x
  3. Step 3: Cross multiply
    604.09x = 906.14 × 389.04
  4. Step 4: Simplify right side
    604.09x = 352,520.09
  5. Step 5: Solve for x
    x = 352,520.09/604.09
  6. Step 6: Final answer
    x = 583.55

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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.