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Finding the Fourth Proportional to 571.71, 857.39 and 206.42

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Solution

The fourth proportional to 571.71, 857.39 and 206.42 is: 309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.71 : 857.39 = 206.42 : x
  2. Step 2: Convert to fraction form
    571.71/857.39 = 206.42/x
  3. Step 3: Cross multiply
    571.71x = 857.39 × 206.42
  4. Step 4: Simplify right side
    571.71x = 176,977.12
  5. Step 5: Solve for x
    x = 176,977.12/571.71
  6. Step 6: Final answer
    x = 309.56

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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.