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Finding the Fourth Proportional to 934.42, 1,401.61 and 231.62

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Solution

The fourth proportional to 934.42, 1,401.61 and 231.62 is: 347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.42 : 1,401.61 = 231.62 : x
  2. Step 2: Convert to fraction form
    934.42/1,401.61 = 231.62/x
  3. Step 3: Cross multiply
    934.42x = 1,401.61 × 231.62
  4. Step 4: Simplify right side
    934.42x = 324,640.91
  5. Step 5: Solve for x
    x = 324,640.91/934.42
  6. Step 6: Final answer
    x = 347.43

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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.