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Finding the Fourth Proportional to 943.33, 1,414.59 and 423.49

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Solution

The fourth proportional to 943.33, 1,414.59 and 423.49 is: 635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.33 : 1,414.59 = 423.49 : x
  2. Step 2: Convert to fraction form
    943.33/1,414.59 = 423.49/x
  3. Step 3: Cross multiply
    943.33x = 1,414.59 × 423.49
  4. Step 4: Simplify right side
    943.33x = 599,064.72
  5. Step 5: Solve for x
    x = 599,064.72/943.33
  6. Step 6: Final answer
    x = 635.05

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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.