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Finding the Fourth Proportional to 571.97, 789.47 and 362.25

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Solution

The fourth proportional to 571.97, 789.47 and 362.25 is: 500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.97 : 789.47 = 362.25 : x
  2. Step 2: Convert to fraction form
    571.97/789.47 = 362.25/x
  3. Step 3: Cross multiply
    571.97x = 789.47 × 362.25
  4. Step 4: Simplify right side
    571.97x = 285,982.32
  5. Step 5: Solve for x
    x = 285,982.32/571.97
  6. Step 6: Final answer
    x = 500.00

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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.