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Finding the Fourth Proportional to 572.49, 789.57 and 447.93

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Solution

The fourth proportional to 572.49, 789.57 and 447.93 is: 617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.49 : 789.57 = 447.93 : x
  2. Step 2: Convert to fraction form
    572.49/789.57 = 447.93/x
  3. Step 3: Cross multiply
    572.49x = 789.57 × 447.93
  4. Step 4: Simplify right side
    572.49x = 353,672.09
  5. Step 5: Solve for x
    x = 353,672.09/572.49
  6. Step 6: Final answer
    x = 617.78

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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.