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Finding the Fourth Proportional to 571.36, 857.08 and 259.20

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Solution

The fourth proportional to 571.36, 857.08 and 259.20 is: 388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.36 : 857.08 = 259.20 : x
  2. Step 2: Convert to fraction form
    571.36/857.08 = 259.20/x
  3. Step 3: Cross multiply
    571.36x = 857.08 × 259.20
  4. Step 4: Simplify right side
    571.36x = 222,150.85
  5. Step 5: Solve for x
    x = 222,150.85/571.36
  6. Step 6: Final answer
    x = 388.81

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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.