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Finding the Fourth Proportional to 571.90, 789.21 and 339.10

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Solution

The fourth proportional to 571.90, 789.21 and 339.10 is: 467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.90 : 789.21 = 339.10 : x
  2. Step 2: Convert to fraction form
    571.90/789.21 = 339.10/x
  3. Step 3: Cross multiply
    571.90x = 789.21 × 339.10
  4. Step 4: Simplify right side
    571.90x = 267,621.11
  5. Step 5: Solve for x
    x = 267,621.11/571.90
  6. Step 6: Final answer
    x = 467.95

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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.