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Finding the Fourth Proportional to 599.42, 892.97 and 577.38

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Solution

The fourth proportional to 599.42, 892.97 and 577.38 is: 860.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.42 : 892.97 = 577.38 : x
  2. Step 2: Convert to fraction form
    599.42/892.97 = 577.38/x
  3. Step 3: Cross multiply
    599.42x = 892.97 × 577.38
  4. Step 4: Simplify right side
    599.42x = 515,583.87
  5. Step 5: Solve for x
    x = 515,583.87/599.42
  6. Step 6: Final answer
    x = 860.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.