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Finding the Fourth Proportional to 571.06, 856.62 and 378.28

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Solution

The fourth proportional to 571.06, 856.62 and 378.28 is: 567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.06 : 856.62 = 378.28 : x
  2. Step 2: Convert to fraction form
    571.06/856.62 = 378.28/x
  3. Step 3: Cross multiply
    571.06x = 856.62 × 378.28
  4. Step 4: Simplify right side
    571.06x = 324,042.21
  5. Step 5: Solve for x
    x = 324,042.21/571.06
  6. Step 6: Final answer
    x = 567.44

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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.