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Finding the Fourth Proportional to 571.71, 788.97 and 323.04

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Solution

The fourth proportional to 571.71, 788.97 and 323.04 is: 445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.71 : 788.97 = 323.04 : x
  2. Step 2: Convert to fraction form
    571.71/788.97 = 323.04/x
  3. Step 3: Cross multiply
    571.71x = 788.97 × 323.04
  4. Step 4: Simplify right side
    571.71x = 254,868.87
  5. Step 5: Solve for x
    x = 254,868.87/571.71
  6. Step 6: Final answer
    x = 445.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.