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Finding the Fourth Proportional to 571.43, 857.27 and 206.18

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Solution

The fourth proportional to 571.43, 857.27 and 206.18 is: 309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.43 : 857.27 = 206.18 : x
  2. Step 2: Convert to fraction form
    571.43/857.27 = 206.18/x
  3. Step 3: Cross multiply
    571.43x = 857.27 × 206.18
  4. Step 4: Simplify right side
    571.43x = 176,746.61
  5. Step 5: Solve for x
    x = 176,746.61/571.43
  6. Step 6: Final answer
    x = 309.31

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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.