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Finding the Fourth Proportional to 571.51, 857.27 and 327.87

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Solution

The fourth proportional to 571.51, 857.27 and 327.87 is: 491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.51 : 857.27 = 327.87 : x
  2. Step 2: Convert to fraction form
    571.51/857.27 = 327.87/x
  3. Step 3: Cross multiply
    571.51x = 857.27 × 327.87
  4. Step 4: Simplify right side
    571.51x = 281,073.11
  5. Step 5: Solve for x
    x = 281,073.11/571.51
  6. Step 6: Final answer
    x = 491.81

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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.