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Finding the Fourth Proportional to 311.28, 430.02 and 264.57

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Solution

The fourth proportional to 311.28, 430.02 and 264.57 is: 365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.28 : 430.02 = 264.57 : x
  2. Step 2: Convert to fraction form
    311.28/430.02 = 264.57/x
  3. Step 3: Cross multiply
    311.28x = 430.02 × 264.57
  4. Step 4: Simplify right side
    311.28x = 113,770.39
  5. Step 5: Solve for x
    x = 113,770.39/311.28
  6. Step 6: Final answer
    x = 365.49

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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.