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Finding the Fourth Proportional to 571.82, 788.94 and 323.15

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Solution

The fourth proportional to 571.82, 788.94 and 323.15 is: 445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.82 : 788.94 = 323.15 : x
  2. Step 2: Convert to fraction form
    571.82/788.94 = 323.15/x
  3. Step 3: Cross multiply
    571.82x = 788.94 × 323.15
  4. Step 4: Simplify right side
    571.82x = 254,942.02
  5. Step 5: Solve for x
    x = 254,942.02/571.82
  6. Step 6: Final answer
    x = 445.85

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Why These Related Problems?

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