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Finding the Fourth Proportional to 311.01, 429.77 and 283.20

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Solution

The fourth proportional to 311.01, 429.77 and 283.20 is: 391.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.01 : 429.77 = 283.20 : x
  2. Step 2: Convert to fraction form
    311.01/429.77 = 283.20/x
  3. Step 3: Cross multiply
    311.01x = 429.77 × 283.20
  4. Step 4: Simplify right side
    311.01x = 121,709.96
  5. Step 5: Solve for x
    x = 121,709.96/311.01
  6. Step 6: Final answer
    x = 391.34

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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.