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Finding the Fourth Proportional to 311.11, 427.14 and 303.08

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Solution

The fourth proportional to 311.11, 427.14 and 303.08 is: 416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.11 : 427.14 = 303.08 : x
  2. Step 2: Convert to fraction form
    311.11/427.14 = 303.08/x
  3. Step 3: Cross multiply
    311.11x = 427.14 × 303.08
  4. Step 4: Simplify right side
    311.11x = 129,455.46
  5. Step 5: Solve for x
    x = 129,455.46/311.11
  6. Step 6: Final answer
    x = 416.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.