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Finding the Fourth Proportional to 571.80, 857.76 and 206.56

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Solution

The fourth proportional to 571.80, 857.76 and 206.56 is: 309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.80 : 857.76 = 206.56 : x
  2. Step 2: Convert to fraction form
    571.80/857.76 = 206.56/x
  3. Step 3: Cross multiply
    571.80x = 857.76 × 206.56
  4. Step 4: Simplify right side
    571.80x = 177,178.91
  5. Step 5: Solve for x
    x = 177,178.91/571.80
  6. Step 6: Final answer
    x = 309.86

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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.