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Finding the Fourth Proportional to 571.28, 857.20 and 263.20

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Solution

The fourth proportional to 571.28, 857.20 and 263.20 is: 394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.28 : 857.20 = 263.20 : x
  2. Step 2: Convert to fraction form
    571.28/857.20 = 263.20/x
  3. Step 3: Cross multiply
    571.28x = 857.20 × 263.20
  4. Step 4: Simplify right side
    571.28x = 225,615.04
  5. Step 5: Solve for x
    x = 225,615.04/571.28
  6. Step 6: Final answer
    x = 394.93

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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.