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Finding the Fourth Proportional to 571.86, 789.30 and 339.02

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Solution

The fourth proportional to 571.86, 789.30 and 339.02 is: 467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.86 : 789.30 = 339.02 : x
  2. Step 2: Convert to fraction form
    571.86/789.30 = 339.02/x
  3. Step 3: Cross multiply
    571.86x = 789.30 × 339.02
  4. Step 4: Simplify right side
    571.86x = 267,588.49
  5. Step 5: Solve for x
    x = 267,588.49/571.86
  6. Step 6: Final answer
    x = 467.93

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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.