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Finding the Fourth Proportional to 571.75, 789.02 and 339.01

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Solution

The fourth proportional to 571.75, 789.02 and 339.01 is: 467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.75 : 789.02 = 339.01 : x
  2. Step 2: Convert to fraction form
    571.75/789.02 = 339.01/x
  3. Step 3: Cross multiply
    571.75x = 789.02 × 339.01
  4. Step 4: Simplify right side
    571.75x = 267,485.67
  5. Step 5: Solve for x
    x = 267,485.67/571.75
  6. Step 6: Final answer
    x = 467.84

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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.