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Finding the Fourth Proportional to 571.90, 857.97 and 206.69

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Solution

The fourth proportional to 571.90, 857.97 and 206.69 is: 310.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.90 : 857.97 = 206.69 : x
  2. Step 2: Convert to fraction form
    571.90/857.97 = 206.69/x
  3. Step 3: Cross multiply
    571.90x = 857.97 × 206.69
  4. Step 4: Simplify right side
    571.90x = 177,333.82
  5. Step 5: Solve for x
    x = 177,333.82/571.90
  6. Step 6: Final answer
    x = 310.08

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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.