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Finding the Fourth Proportional to 625.83, 939.83 and 409.29

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Solution

The fourth proportional to 625.83, 939.83 and 409.29 is: 614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.83 : 939.83 = 409.29 : x
  2. Step 2: Convert to fraction form
    625.83/939.83 = 409.29/x
  3. Step 3: Cross multiply
    625.83x = 939.83 × 409.29
  4. Step 4: Simplify right side
    625.83x = 384,660.97
  5. Step 5: Solve for x
    x = 384,660.97/625.83
  6. Step 6: Final answer
    x = 614.64

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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.