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Finding the Fourth Proportional to 571.29, 857.34 and 206.12

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Solution

The fourth proportional to 571.29, 857.34 and 206.12 is: 309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.29 : 857.34 = 206.12 : x
  2. Step 2: Convert to fraction form
    571.29/857.34 = 206.12/x
  3. Step 3: Cross multiply
    571.29x = 857.34 × 206.12
  4. Step 4: Simplify right side
    571.29x = 176,710.63
  5. Step 5: Solve for x
    x = 176,710.63/571.29
  6. Step 6: Final answer
    x = 309.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.