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Finding the Fourth Proportional to 571.25, 856.88 and 327.61

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Solution

The fourth proportional to 571.25, 856.88 and 327.61 is: 491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.25 : 856.88 = 327.61 : x
  2. Step 2: Convert to fraction form
    571.25/856.88 = 327.61/x
  3. Step 3: Cross multiply
    571.25x = 856.88 × 327.61
  4. Step 4: Simplify right side
    571.25x = 280,720.82
  5. Step 5: Solve for x
    x = 280,720.82/571.25
  6. Step 6: Final answer
    x = 491.42

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.