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Finding the Fourth Proportional to 443.78, 611.92 and 311.14

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Solution

The fourth proportional to 443.78, 611.92 and 311.14 is: 429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.78 : 611.92 = 311.14 : x
  2. Step 2: Convert to fraction form
    443.78/611.92 = 311.14/x
  3. Step 3: Cross multiply
    443.78x = 611.92 × 311.14
  4. Step 4: Simplify right side
    443.78x = 190,393.94
  5. Step 5: Solve for x
    x = 190,393.94/443.78
  6. Step 6: Final answer
    x = 429.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.