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Finding the Fourth Proportional to 618.25, 926.17 and 409.38

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Solution

The fourth proportional to 618.25, 926.17 and 409.38 is: 613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.25 : 926.17 = 409.38 : x
  2. Step 2: Convert to fraction form
    618.25/926.17 = 409.38/x
  3. Step 3: Cross multiply
    618.25x = 926.17 × 409.38
  4. Step 4: Simplify right side
    618.25x = 379,155.47
  5. Step 5: Solve for x
    x = 379,155.47/618.25
  6. Step 6: Final answer
    x = 613.27

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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.