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Finding the Fourth Proportional to 571.77, 856.44 and 327.69

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Solution

The fourth proportional to 571.77, 856.44 and 327.69 is: 490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.77 : 856.44 = 327.69 : x
  2. Step 2: Convert to fraction form
    571.77/856.44 = 327.69/x
  3. Step 3: Cross multiply
    571.77x = 856.44 × 327.69
  4. Step 4: Simplify right side
    571.77x = 280,646.82
  5. Step 5: Solve for x
    x = 280,646.82/571.77
  6. Step 6: Final answer
    x = 490.84

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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.