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Finding the Fourth Proportional to 571.66, 788.92 and 322.97

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Solution

The fourth proportional to 571.66, 788.92 and 322.97 is: 445.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.66 : 788.92 = 322.97 : x
  2. Step 2: Convert to fraction form
    571.66/788.92 = 322.97/x
  3. Step 3: Cross multiply
    571.66x = 788.92 × 322.97
  4. Step 4: Simplify right side
    571.66x = 254,796.80
  5. Step 5: Solve for x
    x = 254,796.80/571.66
  6. Step 6: Final answer
    x = 445.72

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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.