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Finding the Fourth Proportional to 572.32, 789.60 and 339.28

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Solution

The fourth proportional to 572.32, 789.60 and 339.28 is: 468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.32 : 789.60 = 339.28 : x
  2. Step 2: Convert to fraction form
    572.32/789.60 = 339.28/x
  3. Step 3: Cross multiply
    572.32x = 789.60 × 339.28
  4. Step 4: Simplify right side
    572.32x = 267,895.49
  5. Step 5: Solve for x
    x = 267,895.49/572.32
  6. Step 6: Final answer
    x = 468.09

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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.