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Finding the Fourth Proportional to 943.08, 1,414.62 and 293.80

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Solution

The fourth proportional to 943.08, 1,414.62 and 293.80 is: 440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.08 : 1,414.62 = 293.80 : x
  2. Step 2: Convert to fraction form
    943.08/1,414.62 = 293.80/x
  3. Step 3: Cross multiply
    943.08x = 1,414.62 × 293.80
  4. Step 4: Simplify right side
    943.08x = 415,615.36
  5. Step 5: Solve for x
    x = 415,615.36/943.08
  6. Step 6: Final answer
    x = 440.70

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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.