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Finding the Fourth Proportional to 596.44, 892.88 and 533.87

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Solution

The fourth proportional to 596.44, 892.88 and 533.87 is: 799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.44 : 892.88 = 533.87 : x
  2. Step 2: Convert to fraction form
    596.44/892.88 = 533.87/x
  3. Step 3: Cross multiply
    596.44x = 892.88 × 533.87
  4. Step 4: Simplify right side
    596.44x = 476,681.85
  5. Step 5: Solve for x
    x = 476,681.85/596.44
  6. Step 6: Final answer
    x = 799.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.