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Finding the Fourth Proportional to 604.69, 906.85 and 409.57

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Solution

The fourth proportional to 604.69, 906.85 and 409.57 is: 614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.69 : 906.85 = 409.57 : x
  2. Step 2: Convert to fraction form
    604.69/906.85 = 409.57/x
  3. Step 3: Cross multiply
    604.69x = 906.85 × 409.57
  4. Step 4: Simplify right side
    604.69x = 371,416.80
  5. Step 5: Solve for x
    x = 371,416.80/604.69
  6. Step 6: Final answer
    x = 614.23

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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.