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Finding the Fourth Proportional to 312.31, 431.49 and 266.17

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Solution

The fourth proportional to 312.31, 431.49 and 266.17 is: 367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.31 : 431.49 = 266.17 : x
  2. Step 2: Convert to fraction form
    312.31/431.49 = 266.17/x
  3. Step 3: Cross multiply
    312.31x = 431.49 × 266.17
  4. Step 4: Simplify right side
    312.31x = 114,849.69
  5. Step 5: Solve for x
    x = 114,849.69/312.31
  6. Step 6: Final answer
    x = 367.74

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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.