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Finding the Fourth Proportional to 571.40, 857.09 and 186.65

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Solution

The fourth proportional to 571.40, 857.09 and 186.65 is: 279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.40 : 857.09 = 186.65 : x
  2. Step 2: Convert to fraction form
    571.40/857.09 = 186.65/x
  3. Step 3: Cross multiply
    571.40x = 857.09 × 186.65
  4. Step 4: Simplify right side
    571.40x = 159,971.56
  5. Step 5: Solve for x
    x = 159,971.56/571.40
  6. Step 6: Final answer
    x = 279.97

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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.