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Finding the Fourth Proportional to 943.16, 1,414.76 and 293.88

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Solution

The fourth proportional to 943.16, 1,414.76 and 293.88 is: 440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.16 : 1,414.76 = 293.88 : x
  2. Step 2: Convert to fraction form
    943.16/1,414.76 = 293.88/x
  3. Step 3: Cross multiply
    943.16x = 1,414.76 × 293.88
  4. Step 4: Simplify right side
    943.16x = 415,769.67
  5. Step 5: Solve for x
    x = 415,769.67/943.16
  6. Step 6: Final answer
    x = 440.83

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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.