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Finding the Fourth Proportional to 571.77, 788.92 and 323.01

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Solution

The fourth proportional to 571.77, 788.92 and 323.01 is: 445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.77 : 788.92 = 323.01 : x
  2. Step 2: Convert to fraction form
    571.77/788.92 = 323.01/x
  3. Step 3: Cross multiply
    571.77x = 788.92 × 323.01
  4. Step 4: Simplify right side
    571.77x = 254,828.24
  5. Step 5: Solve for x
    x = 254,828.24/571.77
  6. Step 6: Final answer
    x = 445.68

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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.