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Finding the Fourth Proportional to 571.67, 788.86 and 323.03

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Solution

The fourth proportional to 571.67, 788.86 and 323.03 is: 445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.67 : 788.86 = 323.03 : x
  2. Step 2: Convert to fraction form
    571.67/788.86 = 323.03/x
  3. Step 3: Cross multiply
    571.67x = 788.86 × 323.03
  4. Step 4: Simplify right side
    571.67x = 254,826.00
  5. Step 5: Solve for x
    x = 254,826.00/571.67
  6. Step 6: Final answer
    x = 445.76

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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.