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Finding the Fourth Proportional to 943.24, 1,414.84 and 395.80

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Solution

The fourth proportional to 943.24, 1,414.84 and 395.80 is: 593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.24 : 1,414.84 = 395.80 : x
  2. Step 2: Convert to fraction form
    943.24/1,414.84 = 395.80/x
  3. Step 3: Cross multiply
    943.24x = 1,414.84 × 395.80
  4. Step 4: Simplify right side
    943.24x = 559,993.67
  5. Step 5: Solve for x
    x = 559,993.67/943.24
  6. Step 6: Final answer
    x = 593.69

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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.