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Finding the Fourth Proportional to 313, 433.79 and 308.20

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Solution

The fourth proportional to 313, 433.79 and 308.20 is: 427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313 : 433.79 = 308.20 : x
  2. Step 2: Convert to fraction form
    313/433.79 = 308.20/x
  3. Step 3: Cross multiply
    313x = 433.79 × 308.20
  4. Step 4: Simplify right side
    313x = 133,694.08
  5. Step 5: Solve for x
    x = 133,694.08/313
  6. Step 6: Final answer
    x = 427.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.