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Finding the Fourth Proportional to 571.31, 857.09 and 311.57

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Solution

The fourth proportional to 571.31, 857.09 and 311.57 is: 467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.31 : 857.09 = 311.57 : x
  2. Step 2: Convert to fraction form
    571.31/857.09 = 311.57/x
  3. Step 3: Cross multiply
    571.31x = 857.09 × 311.57
  4. Step 4: Simplify right side
    571.31x = 267,037.69
  5. Step 5: Solve for x
    x = 267,037.69/571.31
  6. Step 6: Final answer
    x = 467.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.