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Finding the Fourth Proportional to 571.58, 857.42 and 206.48

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Solution

The fourth proportional to 571.58, 857.42 and 206.48 is: 309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.58 : 857.42 = 206.48 : x
  2. Step 2: Convert to fraction form
    571.58/857.42 = 206.48/x
  3. Step 3: Cross multiply
    571.58x = 857.42 × 206.48
  4. Step 4: Simplify right side
    571.58x = 177,039.05
  5. Step 5: Solve for x
    x = 177,039.05/571.58
  6. Step 6: Final answer
    x = 309.74

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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.