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Finding the Fourth Proportional to 571.14, 788.17 and 350.06

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Solution

The fourth proportional to 571.14, 788.17 and 350.06 is: 483.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.14 : 788.17 = 350.06 : x
  2. Step 2: Convert to fraction form
    571.14/788.17 = 350.06/x
  3. Step 3: Cross multiply
    571.14x = 788.17 × 350.06
  4. Step 4: Simplify right side
    571.14x = 275,906.79
  5. Step 5: Solve for x
    x = 275,906.79/571.14
  6. Step 6: Final answer
    x = 483.08

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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.