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Finding the Fourth Proportional to 571.28, 855.72 and 378.32

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Solution

The fourth proportional to 571.28, 855.72 and 378.32 is: 566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.28 : 855.72 = 378.32 : x
  2. Step 2: Convert to fraction form
    571.28/855.72 = 378.32/x
  3. Step 3: Cross multiply
    571.28x = 855.72 × 378.32
  4. Step 4: Simplify right side
    571.28x = 323,735.99
  5. Step 5: Solve for x
    x = 323,735.99/571.28
  6. Step 6: Final answer
    x = 566.69

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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.