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Finding the Fourth Proportional to 311.16, 428.39 and 295.77

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Solution

The fourth proportional to 311.16, 428.39 and 295.77 is: 407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.16 : 428.39 = 295.77 : x
  2. Step 2: Convert to fraction form
    311.16/428.39 = 295.77/x
  3. Step 3: Cross multiply
    311.16x = 428.39 × 295.77
  4. Step 4: Simplify right side
    311.16x = 126,703.43
  5. Step 5: Solve for x
    x = 126,703.43/311.16
  6. Step 6: Final answer
    x = 407.20

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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.